Numerical solution of non-linear Bratu-type boundary value problems via quintic B-spline collocation method

Abstract

This study presents a quintic B-spline collocation method (QBSCM) for finding the numerical solution of non-linear Bratu-type boundary value problems (BVPs). The error analysis of the QBSCM is studied, and it provides fourth-order convergence results. QBSCM is applied on two numerical examples to exhibit the proficiency and order of convergence. Obtain results of the QBSCM are compared with other existing methods available in the literature.

Keywords

• quintic b-spline collocation method
• bratu-type problems
• error analysis
• order of convergence