The Improved Operational Matrices of DP-Ball Polynomials for Solving Singular Second Order Linear Dirichlet-type Boundary Value Problems

Authors

  • Ahmed Kherd Department of Mathematics, Faculty of Computer Science & Engineering, Al-Ahgaff University, Mukalla, Yemen.
  • Salim F. Bamsaoud Department of Physics, College of Sciences, Hadhramout University, Mukalla, Yemen.
  • Omer Bazighifan Department of Mathematics, College of Sciences, Hadhramout University, Mukalla, Yemen.Department of Mathematics, College of Education, Seiyun University, Hadhramout, Yemen.
  • Mobarek A. Assabaai Department of Mathematics, College of Sciences, Hadhramout University, Mukalla, Yemen.

Keywords:

Boundary value problems, Dirichlet-type, linear second-order, Operational matrices, Singular boundary value problems

Abstract

Solving Dirichlet-type boundary value problems (BVPs) using a novel numerical approach is presented
in this study. The operational matrices of DP-Ball Polynomials are used to solve the linear second-order BVPs. The
modification of the operational matrix eliminates the BVP's singularity. Consequently, guaranteeing a solution is
reached. In this article, three different examples were taken into consideration in order to demonstrate the
applicability of the method. Based on the findings, it seems that the methodology may be used effectively to
provide accurate solutions.

Downloads

Published

2023-11-19

Issue

Vol. 19 No. 1 (2022): Volume 19, Issue 1, June(2022)

Section

Articles