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Taylor Collocation Method for Solving Two dimensional Partial Volterra Integro-differential Equations
  • Cheima Khennaoui,
  • Azzeddine Bellour,
  • Hafida Laib
Cheima Khennaoui
Centre Universitaire Abdelhafid Boussouf Mila

Corresponding Author:c.khennaoui@centre-univ-mila.dz

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Azzeddine Bellour
Ecole Normale Supérieure de Constantine
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Hafida Laib
Centre Universitaire Abdelhafid Boussouf Mila
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Abstract

We consider a two dimensional partial Volterra integro-differential equations (PVIDEs). We extend the Taylor collocation method of one dimensional Volterra integral equations to approximate the solution of two dimensional partial Volterra integro-differential equations. The method is based on the use of Taylor polynomials in two dimensional. The approximate solution is given by using explicit schemes and the method is proved to be high order convergent with respect to the maximum norm. Some numerical examples are given to verify the theoretical results.
19 Mar 2022Submitted to Mathematical Methods in the Applied Sciences
21 Mar 2022Submission Checks Completed
21 Mar 2022Assigned to Editor
28 Mar 2022Reviewer(s) Assigned
13 Jan 2023Review(s) Completed, Editorial Evaluation Pending
15 Jan 2023Editorial Decision: Revise Major
18 Feb 20231st Revision Received
20 Feb 2023Submission Checks Completed
20 Feb 2023Assigned to Editor
20 Feb 2023Review(s) Completed, Editorial Evaluation Pending
22 Feb 2023Reviewer(s) Assigned
01 Mar 2023Editorial Decision: Accept