Two-dimensional wavelets operational method for solving Volterra weakly singular partial integro-differential equations

DOI10.1016/j.cam.2019.112411zbMath1425.65213OpenAlexW2969457917WikidataQ127346299 ScholiaQ127346299MaRDI QIDQ2332716

Yanyan Li

Publication date: 5 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112411

zbMATH Keywords

operational matrixBernoulli waveletLegendre wavelettwo-dimensional weakly partial integro-differential equation

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Numerical methods for integral equations (65R20) Integro-partial differential equations (35R09)

Related Items (13)

Two-dimensional wavelets scheme for numerical solutions of linear and nonlinear Volterra integro-differential equations ⋮ A novel numerical scheme based on Müntz-Legendre wavelets for solving pantograph Volterra delay-integro-differential equations ⋮ A collocation method using generalized Laguerre polynomials for solving nonlinear optimal control problems governed by integro-differential equations ⋮ A new approach by two‐dimensional wavelets operational matrix method for solving variable‐order fractional partial integro‐differential equations ⋮ Solving 2D-integro-differential problems with nonlocal boundary conditions via a matrix formulated approach ⋮ Two competent novel techniques based on two-dimensional wavelets for nonlinear variable-order Riesz space-fractional Schrödinger equations ⋮ A numerical study on the non‐smooth solutions of the nonlinear weakly singular fractional Volterra integro‐differential equations ⋮ An improved radial basis functions method for the high-order Volterra-Fredholm integro-differential equations ⋮ Numerical algorithm based on extended barycentric Lagrange interpolant for two dimensional integro-differential equations ⋮ An efficient numerical method based on Euler wavelets for solving fractional order pantograph Volterra delay-integro-differential equations ⋮ A detailed study on 2D Volterra-Fredholm integro-differential equations involving the Caputo fractional derivative ⋮ Operational matrix method for solving fractional weakly singular 2D partial Volterra integral equations ⋮ A high accurate and convergent numerical framework for solving high-order nonlinear Volterra integro-differential equations

Cites Work

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• Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system
• Two-dimensional wavelets collocation method for electromagnetic waves in dielectric media
• Wavelet Galerkin method for solving singular integral equations
• High accuracy combination method for solving the systems of nonlinear Volterra integral and integro-differential equations with weakly singular kernels of the second kind
• A parabolic integro-differential equation arising from thermoelastic contact
• Using radial basis functions to solve two dimensional linear stochastic integral equations on non-rectangular domains
• Approximate controllability of semilinear system with state delay using sequence method
• Numerical solution of nonlinear weakly singular partial integro-differential equation via operational matrices
• Two dimensional wavelets collocation scheme for linear and nonlinear Volterra weakly singular partial integro-differential equations
• Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials
• Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order
• The Bernoulli wavelets operational matrix of integration and its applications for the solution of linear and nonlinear problems in calculus of variations
• A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations
• Application of operational matrices for solving system of linear Stratonovich Volterra integral equation
• A general theory of heat conduction with finite wave speeds
• An integro-differential equation with application in heat flow
• On the numerical solution of stochastic quadratic integral equations via operational matrix method
• A new scheme for solving nonlinear Stratonovich Volterra integral equations via Bernoulli’s approximation
• A numerical approach for solving weakly singular partial integro‐differential equations via two‐dimensional‐orthonormal Bernstein polynomials with the convergence analysis

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