Taylor collocation method for solving two‐dimensional partial Volterra integro‐differential equations

DOI10.1002/mma.9209OpenAlexW4360945724MaRDI QIDQ6178220

Azzeddine Bellour, Hafida Laib, Unnamed Author

Publication date: 18 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9209

zbMATH Keywords

collocation methodtwo-dimensional equationsTaylor polynomialspartial Volterra integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Cites Work

• A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
• A Taylor collocation method for solving delay integral equations
• Numerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet
• New computational method for solving some 2-dimensional nonlinear Volterra integro-differential equations
• Multidimensional integral equations and inequalities
• Efficient solution of a partial integro-differential equation in finance
• A nonlinear partial integro-differential equation from mathematical finance
• The method of lines for parabolic partial integro-differential equations
• Operational matrix approach for the solution of partial integro-differential equation
• 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
• A high order finite volume element method for solving elliptic partial integro-differential equations
• Laplace decomposition for solving nonlinear system of fractional order partial differential equations
• A compatible Hermite-Taylor matrix-collocation technique with convergence test for second-order partial integro-differential equations containing two independent variables with functional bounds
• Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel
• Projected iterations of fixed-point type to solve nonlinear partial Volterra integro-differential equations
• Spectral Galerkin schemes for a class of multi-order fractional pantograph equations
• Wavelet based iterative methods for a class of 2D-partial integro differential equations
• Fast and precise spectral method for solving pantograph type Volterra integro-differential equations
• Taylor collocation method and convergence analysis for the Volterra-Fredholm integral equations
• An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics
• Solution of high-order linear Fredholm integro-differential equations with piecewise intervals
• A Taylor Collocation Method for the Solution of Linear Integro-Differential Equations
• An Euler-type method for two-dimensional Volterra integral equations of the first kind
• Numerical Solution of Diffusion and Reaction–Diffusion Partial Integro-Differential Equations
• Numerical solution of high-order linear Volterra integro-differential equations by using Taylor collocation method
• Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic
• Numerical solution of delay integro‐differential equations by using Taylor collocation method
• Modified Galerkin algorithm for solving multitype fractional differential equations
• Taylor polynomial solution of hyperbolic type partial differential equations with constant coefficients
• Chebyshev spectral methods for multi-order fractional neutral pantograph equations

This page was built for publication: Taylor collocation method for solving two‐dimensional partial Volterra integro‐differential equations