Delay-dependent stability of a class of Runge-Kutta methods for neutral differential equations

Συγγραφείς: Wang, Zheng, Cong, Yuhao

Πηγή: Numerical Algorithms. 98:1643-1666

Θεματικοί όροι: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, delay-dependent stability, argument principle, TASE-RK, Numerical methods for functional-differential equations, TASE-W, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, neutral delay differential equation, Neutral functional-differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8015092
https://doi.org/10.1007/s11075-024-01846-4

Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations

Συγγραφείς: Safavi, Mostafa, Khajehnasiri, Amirahmad, Ezzati, Reza, Rezabeyk, Saeedeh

Πηγή: Journal of Applied Analysis. 30:103-116

Θεματικοί όροι: pantograph equation, operational matrix, 0103 physical sciences, fractional derivative, Numerical methods for functional-differential equations, 0101 mathematics, 01 natural sciences, Functional-differential equations with fractional derivatives, Touchard wavelet

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7867615
https://doi.org/10.1515/jaa-2023-0029

An explicit two-grid spectral deferred correction method for nonlinear fractional pantograph differential equations

Συγγραφείς: Shan Li, Cunxuan Du, Zhongqing Wang

Πηγή: Calcolo. 61

Θεματικοί όροι: two-grid spectral deferred correction method, Numerical methods for functional-differential equations, numerical results, Functional-differential equations with fractional derivatives, nonlinear fractional pantograph differential equations, error analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7930244
https://doi.org/10.1007/s10092-024-00614-z

Asymptotic streamline diffusion finite element method for singularly perturbed convection–diffusion differential difference equations: Asymptotic streamline diffusion finite element method for singularly perturbed convection-diffusion differential difference equations

Συγγραφείς: Senthilkumar L.S., Subburayan Veerasamy, Ravi P. Agarwal

Πηγή: Mathematical Methods in the Applied Sciences. 46:11509-11522

Θεματικοί όροι: Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, differential difference equations, Singular perturbations of functional-differential equations, Mesh generation, refinement, and adaptive methods for ordinary differential equations, asymptotic expansion approximation, Numerical methods for functional-differential equations, convection-diffusion problem, Shishkin mesh, SDFEM, 0101 mathematics, 01 natural sciences, Numerical solution of singularly perturbed problems involving ordinary differential equations, Error bounds for numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

A streamlined numerical method to treat fractional nonlinear terminal value problems with multiple delays appearing in biomathematics

Συγγραφείς: Ömür Kıvanç Kürkçü

Πηγή: Comp. Appl. Math.

Θεματικοί όροι: terminal condition, matrix-collocation method, delay differential equation, fractional derivative, Numerical methods for functional-differential equations, 0101 mathematics, 01 natural sciences, Functional-differential equations with fractional derivatives, General biology and biomathematics, error analysis, Article, Error bounds for numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7671195
https://doi.org/10.1007/s40314-023-02216-x

A low-cost computational method for solving nonlinear fractional delay differential equations

Συγγραφείς: Nemati, Somayeh, Kalansara, Zahra Rezaei

Πηγή: Communications in Nonlinear Science and Numerical Simulation. 114:106650

Θεματικοί όροι: Numerical methods for functional-differential equations, fractional delay differential equations, modified hat functions, operational matrices, Numerical methods for integral equations, 0101 mathematics, system complexity, 01 natural sciences, Functional-differential equations with fractional derivatives

Περιγραφή αρχείου: application/xml

Solution of the delayed single degree of freedom system equation by exponential matrix method

Συγγραφείς: SEZER, MEHMET, ÇEVİK, MEHMET, Bahsi, M. Mustafa

Πηγή: Applied Mathematics and Computation. 242:444-453

Θεματικοί όροι: Numerical computation of matrix exponential and similar matrix functions, 2. Zero hunger, exponential collocation method, 0209 industrial biotechnology, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Numerical methods for functional-differential equations, 02 engineering and technology, 0101 mathematics, time delay, single degree of freedom system, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6574883
https://doi.org/10.1016/j.amc.2014.05.111
https://dblp.uni-trier.de/db/journals/amc/amc242.html#CevikBS14
https://www.sciencedirect.com/science/article/pii/S009630031400811X
http://www.sciencedirect.com/science/article/pii/S009630031400811X
https://avesis.deu.edu.tr/publication/details/13fac219-c556-4513-a215-aa2ac6cd0eea/oai

An exponential approximation for solutions of generalized pantograph-delay differential equations

Συγγραφείς: Mehmet Sezer, Şuayip Yüzbaşı

Πηγή: Applied Mathematical Modelling. 37:9160-9173

Θεματικοί όροι: pantograph equations, collocation method, residual correction, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, error estimation, Theoretical approximation of solutions to functional-differential equations, 0103 physical sciences, Numerical methods for functional-differential equations, 0101 mathematics, Numerical methods for initial value problems involving ordinary differential equations, exponential approximation, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6951947
https://doi.org/10.1016/j.apm.2013.04.028
https://www.sciencedirect.com/science/article/abs/pii/S0307904X13002801
https://www.sciencedirect.com/science/article/pii/S0307904X13002801

Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations: Exponential collocation method for solutions of singularly perturbed delay differential equations

Συγγραφείς: Yüzbaşı, Şuayip, Sezer, Mehmet

Πηγή: Abstract and Applied Analysis, Vol 2013 (2013)
Abstr. Appl. Anal.

Θεματικοί όροι: 0209 industrial biotechnology, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, QA1-939, Numerical methods for functional-differential equations, 02 engineering and technology, 0101 mathematics, Numerical approximation of solutions of functional-differential equations, 01 natural sciences, Mathematics, Numerical solution of singularly perturbed problems involving ordinary differential equations, Theoretical approximation of solutions to ordinary differential equations

Περιγραφή αρχείου: application/xml; text/xhtml; application/pdf

Σύνδεσμος πρόσβασης: https://zbmath.org/6306882
https://doi.org/10.1155/2013/493204
https://doaj.org/article/2ae546a7399644f99d2bee6a7fcf043a
https://projecteuclid.org/download/pdfview_1/euclid.aaa/1393512015
https://downloads.hindawi.com/journals/aaa/2013/493204.pdf
https://doaj.org/article/2ae546a7399644f99d2bee6a7fcf043a
http://downloads.hindawi.com/journals/aaa/2013/493204.pdf
https://cyberleninka.org/article/n/514434.pdf
https://www.hindawi.com/journals/aaa/2013/493204/
http://projecteuclid.org/euclid.aaa/1393512015

Numerical stability of higher-order derivative methods for the pantograph equation

Συγγραφείς: Wanjin Lv, Hui Li

Πηγή: Applied Mathematics and Computation. 218:5739-5745

Θεματικοί όροι: pantograph equations, numerical example, delay differential equations, numerical stability, variable stepsize, infinite lag, Mesh generation, refinement, and adaptive methods for ordinary differential equations, Numerical methods for functional-differential equations, higher-order derivative method, 0101 mathematics, Numerical approximation of solutions of functional-differential equations, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6045333
https://doi.org/10.1016/j.amc.2011.11.071
http://www.sciencedirect.com/science/article/pii/S0096300311014147
https://doi.org/10.1016/j.amc.2011.11.071
https://dblp.uni-trier.de/db/journals/amc/amc218.html#LvL12a
https://www.sciencedirect.com/science/article/pii/S0096300311014147

Covariant transformations of basis differential-difference schemes in a plane

Συγγραφείς: V. A. Korobitsyn

Πηγή: Computational Mathematics and Mathematical Physics. 51:1915-1922

Θεματικοί όροι: Finite difference and finite volume methods for ordinary differential equations, Cartesian coordinate system, differential-difference schemes, basis operator method, consistent difference approximations, 0103 physical sciences, Numerical methods for functional-differential equations, 0101 mathematics, Numerical approximation of solutions of functional-differential equations, 01 natural sciences, Hybrid systems of functional-differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6057630
https://doi.org/10.1134/s0965542511110121
https://ui.adsabs.harvard.edu/abs/2011CMMPh..51.1915K/abstract
https://link.springer.com/article/10.1134/S0965542511110121

A multi-interval Chebyshev collocation approach for the stability of periodic delay systems with discontinuities

Συγγραφείς: Firas A. Khasawneh, Eric A. Butcher, Brian P. Mann

Πηγή: Communications in Nonlinear Science and Numerical Simulation. 16:4408-4421

Θεματικοί όροι: numerical examples, periodic delay systems, 0209 industrial biotechnology, convergence, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Numerical methods for functional-differential equations, spectral method, 02 engineering and technology, stability, multi-interval Chebyshev collocation, Numerical approximation of solutions of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences, Periodic solutions to functional-differential equations, Linear functional-differential equations, 0103 physical sciences, Stability and convergence of numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/5941884
https://doi.org/10.1016/j.cnsns.2011.03.025
http://ui.adsabs.harvard.edu/abs/2011CNSNS..16.4408K/abstract
https://arizona.pure.elsevier.com/en/publications/a-multi-interval-chebyshev-collocation-approach-for-the-stability
http://www.sciencedirect.com/science/article/pii/S1007570411001559
https://www.sciencedirect.com/science/article/pii/S1007570411001559

On the Chebyshev spectral continuous time approximation for constant and periodic delay differential equations

Συγγραφείς: Eric A. Butcher, Oleg A. Bobrenkov

Πηγή: Communications in Nonlinear Science and Numerical Simulation. 16:1541-1554

Θεματικοί όροι: 0209 industrial biotechnology, Theoretical approximation of solutions to functional-differential equations, 0103 physical sciences, Numerical methods for functional-differential equations, continuous time approximation, Chebyshev collocation, 02 engineering and technology, periodic delay differential equations, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/5952762
https://doi.org/10.1016/j.cnsns.2010.05.037
https://arizona.pure.elsevier.com/en/publications/on-the-chebyshev-spectral-continuous-time-approximation-for-const
https://www.sciencedirect.com/science/article/abs/pii/S1007570410003539
https://ui.adsabs.harvard.edu/abs/2011CNSNS..16.1541B/abstract

Solution of the Duffing equation involving both integral and non-integral forcing terms

Συγγραφείς: Huanmin Yao

Πηγή: Computer Physics Communications. 180:1481-1488

Θεματικοί όροι: Integro-ordinary differential equations, Duffing equation, exact solution, Oscillation theory of functional-differential equations, Nonlinear oscillations and coupled oscillators for ordinary differential equations, Numerical methods for functional-differential equations, reproducing kernel space, 0101 mathematics, 01 natural sciences, iterative sequence

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7872389
https://doi.org/10.1016/j.cpc.2009.03.014
https://www.sciencedirect.com/science/article/abs/pii/S0010465509001088
http://ui.adsabs.harvard.edu/abs/2009CoPhC.180.1481Y/abstract
https://dblp.uni-trier.de/db/journals/cphysics/cphysics180.html#Yao09
http://www.sciencedirect.com/science/article/pii/S0010465509001088

Higher order numerical schemes for the solution of fractional delay differential equations

Συγγραφείς: Naga Raju Gande, H. Madduri

Πηγή: Journal of Computational and Applied Mathematics. 402:113810

Θεματικοί όροι: Diethelm's schemes, finite difference, Numerical methods for functional-differential equations, fractional delay differential equations, initial value problems, 14. Life underwater, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences, Functional-differential equations with fractional derivatives, interpolation, Error bounds for numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/pii/S0377042721004325
https://dblp.uni-trier.de/db/journals/jcam/jcam402.html#GandeM22
https://doi.org/10.1016/j.cam.2021.113810

A class of computational approaches for simulating fractional functional differential equations via Dickson polynomials

Συγγραφείς: E. Hashemizadeh, H. Panj-Mini, B. Parsa Moghaddam

Πηγή: Chaos, Solitons & Fractals. 152:111407

Θεματικοί όροι: functional differential equations, Dickson polynomials, genetic algorithm, Numerical methods for functional-differential equations, collocation points, fractional calculus, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, convergence and error estimates, 01 natural sciences, Functional-differential equations with fractional derivatives, Error bounds for numerical methods for ordinary differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.sciencedirect.com/science/article/abs/pii/S096007792100761X
http://ui.adsabs.harvard.edu/abs/2021CSF...15211407P/abstract

Global error estimation in the numerical solution of retarded differential equations by Euler's method

Συγγραφείς: Zdzislaw Jackiewicz

Πηγή: Applications of Mathematics. 28:177-185

Θεματικοί όροι: numerical examples, retarded differential equations, global error estimation, Euler's method, Numerical methods for functional-differential equations, General theory of functional-differential equations, 0101 mathematics, system of ordinary differential equations, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://dml.cz/bitstream/handle/10338.dmlcz/104024/AplMat_28-1983-3_4.pdf
https://zbmath.org/3852349
https://doi.org/10.21136/am.1983.104024
https://dml.cz/bitstream/handle/10338.dmlcz/104024/AplMat_28-1983-3_4.pdf

Dissipativity of \(\theta\)-methods for differential equations with piecewise constant arguments

Συγγραφείς: Wang, Qi

Θεματικοί όροι: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Numerical solution of boundary value problems involving ordinary differential equations, piecewise constant arguments, consistency, delay differential equation, Numerical methods for functional-differential equations, \(\theta\)-methods, Numerical approximation of solutions of functional-differential equations, Stability and convergence of numerical methods for ordinary differential equations, dissipativity

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6179069

The existence, uniqueness, and convergence of successive approximations to solutions of differential equations of neutral type with delay

Συγγραφείς: Drakhlin, M. E., Plyshevskaya, T. K.

Θεματικοί όροι: Theoretical approximation of solutions to functional-differential equations, Numerical methods for functional-differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3479385

Existence, uniqueness and convergence of successive approximations for differential equations of neutral type with lag

Συγγραφείς: Drakhlin, M. E., Plyshevskaya, T. K.

Θεματικοί όροι: Theoretical approximation of solutions to functional-differential equations, Numerical methods for functional-differential equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3435977