In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers
Mathematics & Theoretical Foundations
Computational Performance Optimization in Solving Singular Boundary Value Problems: A Comparative Study of Finite Difference and Collocation Methods

Saad Qasim Abbas; Wasan Saad Ahmed

Volume 11, Issue 2 , May 2026, , Pages 201-219

https://doi.org/10.30473/coam.2026.76880.1383

Abstract
  This paper presents a systematic comparative study of two widely used numerical solvers --- HOFiD_bvp (high-order finite difference scheme) and bvp4c (collocation-based) --- for solving singular second-order ordinary differential equations (ODEs) with first-kind (regular) boundary singularities. Four ...  Read More

Computational Performance Optimization in Solving Singular Boundary Value Problems: A Comparative Study of Finite Difference and Collocation Methods