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

Authors

Ahmed kherd, Department of Mathematics, Al-Ahgaff UniversityFollow
Salim F. Bamsaoud, Department of Physics, Hadhramout University, Mukalla- YemenFollow
Omar Bazighifan, Department of Mathematics, College of Education, Seiyun UniversityFollow
Mobarek A. Assabaai, Department of Mathematics, Hadhramout UniversityFollow

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.

Recommended Citation

kherd, Ahmed; Bamsaoud, Salim F.; Bazighifan, Omar; and Assabaai, Mobarek A. (2022) "Improved Operational Matrices of DP-Ball Polynomials for Solving Singular Second Order Linear Dirichlet-type Boundary Value Problems," Hadhramout University Journal of Natural & Applied Sciences: Vol. 19: Iss. 1, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/huj_nas/vol19/iss1/5