A new high-order numerical method for solving singular two-point boundary value problems

• Published in: Journal of computational and applied mathematics Vol. 343; pp. 556 - 574
• Main Authors: Roul, Pradip, Thula, Kiran
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2018
• Subjects: Convergence analysis; Equilibrium of the isothermal gas sphere; Error estimation; Optimal quartic B-spline collocation; Singular boundary value problems; Thermal explosion; Equilibrium of the isothermal gas sphere; 34B16; Optimal quartic B-spline collocation; Error estimation; 65L60; Thermal explosion; Singular boundary value problems; 65L10; Convergence analysis

Recently, Goh et al. (2012) [28] proposed a numerical technique based on quartic B-spline collocation for solving a class of singular boundary value problems (SBVP) with Neumann and Dirichlet boundary conditions (BC). This method is only fourth-order accurate. In this paper, we propose an optimal nu...