A Robust Analytical Framework for Solving Nonlinear Differential Equations Arising in Physical Sciences.

Authors: Tomar, Saurabh¹ (AUTHOR) stomar@rgnau.ac.in

Source: Mathematical Methods in the Applied Sciences. 9/30/2026, Vol. 49 Issue 14, p15796-15821. 26p.

Subject Terms: *Nonlinear differential equations, *Quasilinearization, *Physical sciences, *Iterative methods (Mathematics), *Numerical solutions to differential equations, *Mathematical analysis

Advanced higher order Haar wavelet - Quasilinearization approach for nonlinear singular BVPs.

Authors: Yadav, Ankita¹ (AUTHOR), Kumar, Narendra² (AUTHOR), Verma, Amit K.¹ (AUTHOR) akverma@iitp.ac.in

Source: Applied Numerical Mathematics. Sep2026, Vol. 227, p151-168. 18p.

Subject Terms: *Quasilinearization, *Nonlinear boundary value problems, *Wavelets (Mathematics), *Collocation methods, *Numerical analysis, *Integrals

An investigation of an accurate numerical method for solving nonlinear physiological models using Chebyshev-based quasilinearization.

Authors: Alenezi, Salman M.¹ (AUTHOR), Khidir, Ahmed A.¹ (AUTHOR) akhidir@ut.ed.sa

Source: International Journal of Computer Mathematics. May2026, Vol. 103 Issue 5, p980-996. 17p.

Subject Terms: *Quasilinearization, *Chebyshev approximation, *Quantitative research, *Physiological models, *Collocation methods, *Boundary value problems, *Numerical analysis

Stochastic Volterra Integral Equations Driven by G‐Brownian Motion.

Authors: Zhao, Bingru¹ (AUTHOR) bingruzhao@mail.sdu.edu.cn, Li, Renxing¹ (AUTHOR), Hu, Mingshang¹ (AUTHOR)

Source: Mathematical Methods in the Applied Sciences. 3/30/2026, Vol. 49 Issue 5, p4476-4494. 19p.

Subject Terms: *Volterra equations, *Quasilinearization, *Wiener processes, *Uniqueness (Mathematics), *Equations

A Finite Block Method Framework for Nonlinear Fractional Integro‐Differential Equations.

Authors: Abbaszadeh, Mostafa¹ (AUTHOR) m.abbaszadeh@aut.ac.ir, Ghoreyshi, Amin¹ (AUTHOR) aminghoreyshi@aut.ac.ir, Dehghan, Mehdi¹ (AUTHOR)

Source: Mathematical Methods in the Applied Sciences. 3/15/2026, Vol. 49 Issue 4, p2170-2188. 19p.

Subject Terms: *Fractional differential equations, *Quasilinearization, *Iterative methods (Mathematics), *Numerical grid generation (Numerical analysis), *Time integration scheme, *Chebyshev polynomials, *Numerical analysis

Semi-orthogonal Tribonacci Wavelets and Numerical Solutions of Nonlinear Singular BVPs Arising in a Chemical Reaction

Authors: Yadav, Ankita^Aff1, Verma, Amit K.^{Aff1, IDs40010026011609_cor1}

Source: Proceedings of the National Academy of Sciences, India Section A: Physical Sciences. :1-14

Geometrical deviations, a comparative analysis for the free convective williamson hybrid nanofluid over an inclined surface with particle shape effect: spectral quasilinearization method

Authors: Ratha, P. K.^Aff1, Agbaje, Titilayo M.^Aff2, Oluwaseun, Folarin^Aff3, Mishra, S. R.^Aff1, Panda, Subhajit^{Aff4, IDs4001002601089z_cor1}

Source: Proceedings of the National Academy of Sciences, India Section A: Physical Sciences. :1-16

Spectral quasilinearization analysis of Casson fluid flow over a convectively heated inclined plate considering thermal dispersion and nonlinear thermal convection.

Authors: Sreepada, Sathyendar¹ (AUTHOR), Ontela, Surender^1,2 (AUTHOR) reddysurender3@gmail.com, Naveen, Padigepati³ (AUTHOR)

Source: Chinese Physics B. Nov2025, Vol. 34 Issue 11, p1-6. 6p.

Subject Terms: *Heat transfer, *Quasilinearization, *Natural heat convection, *Thermal conductivity, *Pseudoplastic fluids, *Heat convection, *Porous materials

A high-order wavelet-based collocation method for coupled nonlinear singular differential systems with enhanced accuracy and convergence analysis

Authors: Yadav, Ankita^Aff1, Kumar, Narendra^Aff2, Verma, Amit K.^{Aff1, IDs00366026024025_cor1}

Source: Engineering with Computers: An International Journal for Simulation-Based Engineering. 42(5)

Quasilinearized Genocchi-polynomial collocation for efficient simulation of a nonlinear SIRV anthrax transmission model

Authors: Nesreen Mohamed, Mohamed ElGamel, Waleed Adel

Source: Iranian Journal of Numerical Analysis and Optimization, Vol 16, Iss Issue 3, Pp 1133-1160 (2026)

Subject Terms: anthrax disease model, boundary value problems, genocchi quasilinearization method, genocchi polynomials, numerical methods, Applied mathematics. Quantitative methods, T57-57.97

File Description: electronic resource

Relation: https://ijnao.um.ac.ir/article_48127_88f9379dfe576d4ba394beb562016059.pdf; https://doaj.org/toc/2423-6977; https://doaj.org/toc/2423-6969

Access URL: https://doaj.org/article/d9c0eeacdfa9463dbc71dabdea927d89

The Galerkin method for quasilinear elliptic systems with form-bounded nonlinearities.

Authors: Yaremenko, Mykola

Source: Journal of Analysis; Oct2026, Vol. 34 Issue 5, p3067-3113, 47p

Subject Terms: Quasilinearization, Galerkin methods, Stochastic convergence, Sobolev spaces, Coefficients (Statistics)

Bingham viscoplastic flow over a stretching sheet with second-order velocity slip and inclined magnetic effects.

Authors: Chakraborty, Anomitra

Source: International Journal of Numerical Methods for Heat & Fluid Flow; 2026, Vol. 36 Issue 10, p3929-3950, 22p

Subject Terms: Bingham flow, Magnetic fields, Temperature effect, Non-Newtonian fluids, Velocity, Heat radiation & absorption, Surfaces (Physics), Quasilinearization

Magnetohydrodynamic Falkner-Skan wedge flow featuring nanofluid: An influence of multiple slip factors.

Authors: Alam, Md. Shahidul, Ali, Mohammad, Nasrin, Rehena

Source: AIP Conference Proceedings; 2026, Vol. 3451 Issue 1, p1-8, 8p

Subject Terms: Magnetohydrodynamics, Nanofluids, Boundary value problems, Quasilinearization, Heat transfer, Laminar boundary layer

Bound-Preserving Point-Average-Moment PolynomiAl-Interpreted (PAMPA) Scheme: One-Dimensional Case

Authors: Abgrall, Rémi, Jiao, Miaosen, Liu, Yongle, Wu, Kailiang

Source: Communications in Computational Physics. 39:29-58

Subject Terms: Numerical Analysis, 510 Mathematics, Point-Average-Moment PolynomiAl-interpreted (PAMPA) scheme, convex limiting, Euler equations of gas dynamics, bound-preserving, FOS: Mathematics, geometric quasilinearization (GQL, Numerical Analysis (math.NA)

Access URL: http://arxiv.org/abs/2410.14292

Two Nontrivial Solutions for a Nonhomogeneous Quasilinear Elliptic System With Sign‐Changing Weight Functions.

Authors: Qi, Wanting¹ (AUTHOR), Zhang, Xingyong^1,2 (AUTHOR) zhangxingyong1@163.com

Source: Mathematical Methods in the Applied Sciences. Aug2025, Vol. 48 Issue 12, p11836-11849. 14p.

Subject Terms: *Elliptic equations, *Quasilinearization, *Inhomogeneous materials, *Variational approach (Mathematics), *Nonlinear optics, *Mountain pass theorem

An efficient numerical approach for time-fractional singularly perturbed Burger-Huxley equation

Authors: Podila, Pramod Chakravarthy^{Aff1, IDs4031402603638z_cor1}, Mishra, Rahul^Aff1, Kumar, Kamalesh^Aff2, Ramos, Higinio^Aff3

Source: Computational and Applied Mathematics. 45(6)

A Hybrid QLM–Chebyshev Spectral and PINN Framework for Nonlinear CO2 Sequestration Dynamics.

Authors: Adel, Waleed, Alsulami, Amer, Alsharafi, Mohammed, Touati, Amel, Qurtam, Ashraf A., Aldwoah, Khaled, Sen, Smritijit

Source: Journal of Mathematics; 7/31/2026, Vol. 2026, p1-26, 26p

Subject Terms: Quasilinearization, Chebyshev approximation, Climate change mitigation, Carbon sequestration, Nonlinear mechanics, Computer simulation

Entropy generation analysis in Carreau fluid flow over a nonlinearly stretching cylinder in a porous medium with slip effects: a SQLM and ANN-based study.

Authors: Folarin, O. J., Moshokoa, S. P., Kekana, M. C.

Source: Journal of Thermal Analysis & Calorimetry; Jul2026, Vol. 151 Issue 15, p12457-12481, 25p

Subject Terms: Artificial neural networks, Nonequilibrium thermodynamics, Boundary value problems, Viscoelastic materials, Quasilinearization, Porous materials

An Effective Computational Technique for Solving Nonlinear Boundary Value Problems Arising in Various Physical Phenomena.

Authors: Tomar, Saurabh, Anand, Akash, Kumar Verma, Amit

Source: Mathematical Methods in the Applied Sciences; 7/15/2026, Vol. 49 Issue 10, p11008-11027, 20p

Subject Terms: Nonlinear boundary value problems, Domain decomposition methods, Quasilinearization, Iterative methods (Mathematics), Numerical analysis

Artificial neural network-based computational modeling of Jeffrey fluid in sloping channel with Navier-slip boundaries using Levenberg–Marquardt algorithm.

Authors: Mahla, Ravi, Kolla, Kaladhar

Source: Journal of Thermal Analysis & Calorimetry; Jul2026, Vol. 151 Issue 14, p11893-11907, 15p

Subject Terms: Artificial neural networks, Marquardt algorithm, Boundary value problems, Computer simulation, Quasilinearization, Magnetohydrodynamics, Viscoelastic materials, Non-Newtonian flow (Fluid dynamics)