Numerical solution of Volterra partial integro-differential equations based on sinc-collocation method

DOI10.1186/s13662-017-1416-7zbMath1444.65075OpenAlexW2767910036WikidataQ59482153 ScholiaQ59482153MaRDI QIDQ1710134

Jalil Rashidinia, Atefeh Fahim, Mohammad Ali Fariborzi Araghi, Mehdi Jalalvand

Publication date: 15 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1416-7

zbMATH Keywords

finite difference methodsinc-collocation methodpartial integro-differential equationproduct trapezoidal integration rule

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Volterra integral equations (45D05)

Related Items (13)

Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation ⋮ Collocation approach based on an extended cubic \(B\)-spline for a second-order Volterra partial integrodifferential equation ⋮ An efficient Sinc‐collocation method by the single exponential transformation for the nonlinear fourth‐order partial integro‐differential equation with multiterm kernels ⋮ Numerical solution for a porous fin thermal performance problem by application of Sinc collocation method ⋮ A new wavelet method for solving a class of nonlinear partial integro-differential equations with weakly singular kernels ⋮ A method for fractional Volterra integro-differential equations by Laguerre polynomials ⋮ Orthogonal cubic spline basis and its applications to a partial integro-differential equation with a weakly singular kernel ⋮ Two approximated techniques for solving of system of two-dimensional partial integral differential equations with weakly singular kernels ⋮ Convergence of numerical schemes for the solution of partial integro-differential equations used in heat transfer ⋮ Laguerre polynomial solutions of linear fractional integro-differential equations ⋮ A collocation method to solve the parabolic-type partial integro-differential equations via Pell-Lucas polynomials ⋮ Analytical approach to approximate the solution of Volterra and Fredholm integral equations ⋮ Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

Uses Software

• UTV

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