Numerical study of the fractional fourth-order evolution problems with weak singularity arises in chemical systems

Συγγραφείς: Taneja, Komal, Chawla, Reetika, Kumar, Devendra, Vigo-Aguiar, J.

Πηγή: Journal of Mathematical Chemistry. 63:1287-1311

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Fractional derivatives and integrals, graded mesh, time-fractional fourth order equation, stability and convergence, Numerical methods for initial value problems involving ordinary differential equations, evolution problems, quintic trigonometric B-spline, Caputo derivative, Numerical computation using splines

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8035161
https://doi.org/10.1007/s10910-025-01718-9

Investigation of real-world second-order singular differential equations by optimal homotopy analysis technique

Συγγραφείς: Singh, Randhir, Datta, Prabal, Guleria, Vandana, Sahoo, Nirupam

Πηγή: Journal of Mathematical Chemistry. 63:962-981

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, temperature distribution, Applications of boundary value problems involving ordinary differential equations, singular differential equation, series solution, Singular nonlinear boundary value problems for ordinary differential equations, thermal explosion, homotopy analysis method, Adomian decomposition method, Theoretical approximation of solutions to ordinary differential equations

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Approximation of a function with bounded derivatives of first and second order by the extended Sine-Cosine wavelet expansion with applications: Approximation of a function with bounded derivatives of first and second order by the extended sine-cosine wavelet expansion with applications

Συγγραφείς: Sharma, Vivek Kumar, Sharma, Virendra, Singh, Sonoo

Πηγή: Electronic Journal of Mathematical Analysis and Applications. 13:1-26

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, extended sine-cosine wavelet, Numerical methods for wavelets, Nontrigonometric harmonic analysis involving wavelets and other special systems, wavelet approximation, Numerical methods for integral equations, functions of bounded derivatives

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8036659
https://doi.org/10.21608/ejmaa.2025.321121.1267

An efficient computational technique and its convergence analysis for a class of doubly singular boundary value problems

Συγγραφείς: Roul, Pradip, Agarwal, Ravi P.

Πηγή: Journal of Mathematical Chemistry. 63:502-525

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Singular nonlinear boundary value problems for ordinary differential equations, undetermined coefficients, doubly SBVP, convergence control parameter, fast convergent

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7990899
https://doi.org/10.1007/s10910-024-01685-7

Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology

Συγγραφείς: Giacomo Rosilho de Souza, Marcus J. Grote, Simone Pezzuto, Rolf Krause

Πηγή: ESAIM: Mathematical Modelling and Numerical Analysis

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, 65L04, 65L06, 65L10, 65L20, Numerical Analysis (math.NA), electrophysiology, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, local time-stepping, monodomain model, multirate explicit stabilized methods, ionic model, Numerical methods for stiff equations, Multirate explicit stabilized methods, Rush–Larsen, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, Rush-Larsen

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.01745
https://zbmath.org/7971354
https://doi.org/10.1051/m2an/2024030
https://hdl.handle.net/11572/442124
https://www.esaim-m2an.org/articles/m2an/abs/2024/06/m2an230300/m2an230300.html
https://doi.org/10.1051/m2an/2024030

Construction of high order numerical methods for solving fourth order nonlinear boundary value problems

Συγγραφείς: Dang, Quang A., Thanh Huong Nguyen, Vinh Quang Vu

Πηγή: Numerical Algorithms. 99:323-354

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, iterative method, high order numerical methods, fourth order nonlinear boundary value problems

Περιγραφή αρχείου: application/xml

A novel fixed point approach based on Green’s function for solution of fourth order BVPs: A novel fixed point approach based on Green's function for solution of fourth order BVPs

Συγγραφείς: Junaid Ahmad, Muhammad Arshad

Πηγή: Journal of Applied Mathematics and Computing. 70:2701-2719

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, numerical solution, Fixed-point theorems, boundary value problem, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc, stability, Green's function, iteration

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7895350
https://doi.org/10.1007/s12190-024-02071-x

Advanced numerical scheme and its convergence analysis for a class of two-point singular boundary value problems

Συγγραφείς: Nikhil Sriwastav, Amit K. Barnwal, Higinio Ramos, Ravi P. Agarwal, Mehakpreet Singh

Πηγή: GREDOS. Repositorio Institucional de la Universidad de Salamanca
Universidad de Salamanca (USAL)

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Legendre wavelets, two-point singular boundary value problem, shooting-projection method, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Convergence analysis, 12 Matemáticas, Numerical methods for wavelets, Shooting-projection method, operational matrix of integration, Two-point singular boundary value problem, Operational matrix of integratio, convergence analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://hdl.handle.net/10366/156109
https://zbmath.org/7833274
https://doi.org/10.1016/j.matcom.2023.08.037
https://hdl.handle.net/10366/156109

A new algorithm of boundary value problems based on improved wavelet basis and the reproducing kernel theory

Συγγραφείς: Ruimin Zhang, Yingzhen Lin

Πηγή: Mathematical Methods in the Applied Sciences. 47:47-57

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), BVPs, convergence, Numerical methods for wavelets, Legendre polynomials, improved wavelet orthonormal basis, stability, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, 01 natural sciences

Περιγραφή αρχείου: application/xml

APPROXIMATION OF A FUNCTION HAVING BOUNDED DERIVATIVES UPTO THE SECOND ORDER BY SINE-COSINE WAVELET EXPANSION AND ITS APPLICATIONS: Approximation of a function having bounded derivatives upto the second order by sine-cosine wavelet expansion and its applications

Συγγραφείς: Sharma, Vivek Kumar, Sharma, Virendra, Lal, Shyam, Srivastava, H. M., Rakesh

Πηγή: Poincare Journal of Analysis and Applications. 10:193-213

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, orthonormal set, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Numerical methods for wavelets, Nontrigonometric harmonic analysis involving wavelets and other special systems, General harmonic expansions, frames, sine-cosine wavelet, wavelet approximation, operational matrix of integration, Numerical methods for integral equations

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7731237

A kernel function based regularized method for boundary value problems with noisy information

Συγγραφείς: Li, X. L., Geng, F. Z., Gao, Y. Q.

Πηγή: Applied Mathematics Letters. 164:109481

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, noisy information, robust numerical method, boundary value problems, reproducing kernel

Περιγραφή αρχείου: application/xml

Numerical and mathematical analysis of nonlocal singular Emden–Fowler type BVPs by improved Taylor-wavelet method: Numerical and mathematical analysis of nonlocal singular Emden-Fowler type BVPs by improved Taylor-wavelet method

Συγγραφείς: Nikita Saha, Randhir Singh

Πηγή: Computational and Applied Mathematics. 43

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Emden-Fowler equation, Taylor-wavelets, multi-point boundary value problems, three-point boundary value problems

Περιγραφή αρχείου: application/xml

Hybrid search method for Zermelo’s navigation problem

Συγγραφείς: Precioso, Daniel^{Aff1, Aff3, IDs4031402402756w_cor1}, Milson, Robert, Bu, Louis, Menchions, Yvonne, Gómez-Ullate, David

Πηγή: Computational and Applied Mathematics. 43(4)

The nonlinear reactive transport model: An efficient approximation method based on quasilinearization and Bessel matrix method: The nonlinear reactive transport model: an efficient approximation method based on quasilinearization and Bessel matrix method

Συγγραφείς: Izadi, Mohammad, Srivastava, Hari Mohan, Adel, Waleed

Πηγή: Applied and Computational Mathematics.

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Bessel functions, Approximation by polynomials, Spectral methods applied to problems in fluid mechanics, collocation method, Nonlinear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, quasilinearization technique, convergence analysis, reactive transport model

Περιγραφή αρχείου: application/xml

Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term

Συγγραφείς: Sanjay Ku Sahoo, Vikas Gupta

Πηγή: Mathematical Methods in the Applied Sciences. 45:4876-4898

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Finite difference and finite volume methods for ordinary differential equations, Richardson extrapolation, finite difference, convection-diffusion, discontinuous coefficients, uniform convergence, 01 natural sciences, interior layer, Mesh generation, refinement, and adaptive methods for ordinary differential equations, 0101 mathematics, Stability and convergence of numerical methods for ordinary differential equations, singular perturbation, Numerical solution of singularly perturbed problems involving ordinary differential equations, Error bounds for numerical methods for ordinary differential equations, piece-wise uniform mesh

Περιγραφή αρχείου: application/xml

A Computational Method for Solving the Boundary Value Problem for Impulsive Systems of Essentially Loaded Differential Equations: A computational method for solving the boundary value problem for impulsive systems of essentially loaded differential equations

Συγγραφείς: Kadirbayeva, Zh. M., Kabdrakhova, S. S., Mynbayeva, S. T.

Πηγή: Lobachevskii Journal of Mathematics. 42:3675-3683

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, algorithm, Boundary value problems with impulses for ordinary differential equations, essentially loaded differential equation, Parameter dependent boundary value problems for ordinary differential equations, impulse effect, Linear boundary value problems for ordinary differential equations, 0101 mathematics, Nonlocal and multipoint boundary value problems for ordinary differential equations, parametrization method, 01 natural sciences

Περιγραφή αρχείου: application/xml

A Numerical Method for Solving Boundary Value Problem for Essentially Loaded Differential Equations: A numerical method for solving boundary value problem for essentially loaded differential equations

Συγγραφείς: Zh. M. Kadirbayeva

Πηγή: Lobachevskii Journal of Mathematics. 42:551-559

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, essentially loaded differential equation, parameterization method, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1134/S1995080221030112
https://link.springer.com/content/pdf/10.1134/S1995080221030112.pdf

A High-Order Numerical Method for a Nonlinear System of Second-Order Boundary Value Problems: A high-order numerical method for a nonlinear system of second-order boundary value problems

Συγγραφείς: Minqiang Xu, Jing Niu, Li Guo

Πηγή: Mathematical Problems in Engineering. 2020:1-7

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, 0101 mathematics, 16. Peace & justice, 01 natural sciences

Περιγραφή αρχείου: application/xml; text/xhtml

Σύνδεσμος πρόσβασης: https://downloads.hindawi.com/journals/mpe/2020/6280372.pdf
https://downloads.hindawi.com/journals/mpe/2020/6280372.pdf
http://downloads.hindawi.com/journals/mpe/2020/6280372.pdf
https://www.hindawi.com/journals/mpe/2020/6280372/

Existence results and iterative method for a fully fourth-order nonlinear integral boundary value problem

Συγγραφείς: Quang A Dang, Quang Long Dang

Πηγή: Numerical Algorithms. 85:887-907

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, iterative method, integral boundary value problem, Positive solutions to nonlinear boundary value problems for ordinary differential equations, 0101 mathematics, Nonlocal and multipoint boundary value problems for ordinary differential equations, 01 natural sciences, positivity of the solution, existence and uniqueness of the solution

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dblp.uni-trier.de/db/journals/na/na85.html#DangL20
https://link.springer.com/article/10.1007/s11075-019-00842-3

A Numerical Solution for Fractional Linear Quadratic Optimal Control Problems via Shifted Legendre Polynomials: A numerical solution for fractional linear quadratic optimal control problems via shifted Legendre polynomials

Συγγραφείς: Nezhadhosein, Saeed, Ghanbari, Reza, Ghorbani-Moghadam, Khatere

Πηγή: International Journal of Applied and Computational Mathematics. 8

Θεματικοί όροι: Numerical solution of boundary value problems involving ordinary differential equations, 0209 industrial biotechnology, linear qudratic time variant system, Legendre orthogonal polynomials, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, optimal control problem, Fractional ordinary differential equations, 02 engineering and technology, PDE constrained optimization (numerical aspects), fractional calculus

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7549898
https://doi.org/10.1007/s40819-022-01373-7