Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations

DOI10.1007/s40314-022-02053-4OpenAlexW4302293652MaRDI QIDQ2091351

Yanyan Li

Publication date: 1 November 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-02053-4

zbMATH Keywords

Shishkin meshintegrodifferential equationsHaar waveletsingularly perturbed problemsparameter-uniform convergencenon-standard finite difference

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Integro-partial differential equations (35R09)

Related Items (1)

A robust adaptive grid method for first-order nonlinear singularly perturbed Fredholm integro-differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
• Application of Euler matrix method for solving linear and a class of nonlinear Fredholm integro-differential equations
• Uniform difference method for singularly perturbed Volterra integro-differential equations
• The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
• Numerical solution of integro-differential equations by using CAS wavelet operational matrix of integration
• An algorithm for solving Fredholm integro-differential equations
• Singular perturbation methods for ordinary differential equations
• A two-dimensional Haar wavelets method for solving systems of PDEs
• Mathematical modelling of the intravenous glucose tolerance test
• A uniform numerical method for solving singularly perturbed Fredholm integro-differential problem
• Collocation methods based on Gegenbauer and Bernoulli wavelets for solving neutral delay differential equations
• The new operational matrix of integration for the numerical solution of integro-differential equations via Hermite wavelet
• On some wavelet solutions of singular differential equations arising in the modeling of chemical and biochemical phenomena
• Wavelet-based approximation for two-parameter singularly perturbed problems with Robin boundary conditions
• Numerical solution for a class of parabolic integro-differential equations subject to integral boundary conditions
• A robust numerical method for a singularly perturbed Fredholm integro-differential equation
• A new sequential approach for solving the integro-differential equation via Haar wavelet bases
• A method for the numerical solution of the integro-differential equations
• An effective approach for numerical solutions of high-order Fredholm integro-differential equations
• Convergence analysis of fitted numerical method for a singularly perturbed nonlinear Volterra integro-differential equation with delay
• Haar wavelets. With applications
• Difference schemes of exponential type for singularly perturbed Volterra integro-differential problems
• Solving linear integro-differential equation with Legendre wavelets
• Robust Numerical Methods for Singularly Perturbed Differential Equations
• Singular Perturbation Analysis of Integral Equations
• A nonlinear singularly perturbed Volterra integrodifferential equation occurring in polymer rheology
• Haar wavelet method for solving lumped and distributed-parameter systems
• A numerical method for a second order singularly perturbed Fredholm integro-differential equation
• Trigonometric B-spline based ε-uniform scheme for singularly perturbed problems with Robin boundary conditions
• The Cauchy problem for a singularly perturbed integro-differential Fredholm equation
• Chebyshev finite difference method for Fredholm integro-differential equation
• A Method for the Approximate Solution of Linear Integro-Differential Equations
• A new computational method for solution of non-linear Volterra–Fredholm integro-differential equations
• Numerical wavelets scheme to complex partial differential equation arising from Morlet continuous wavelet transform
• A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods

This page was built for publication: Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations