Boundary Value Technique for Finding Numerical Solution to Boundary Value Problems for Third Order Singularly Perturbed Ordinary Differential Equations

• Published in: International journal of computer mathematics Vol. 79; no. 6; pp. 747 - 763
• Main Authors: Valarmathi, S., Ramanujam, N.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 2002; Taylor and Francis
• Subjects: Asymptotic Approximation; Boundary Layer; Classical Finite Difference Scheme; Exact sciences and technology; Exponentially Fitted Finite Difference Scheme; Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Ordinary differential equations; Sciences and techniques of general use; Self Adjoint Boundary Value Problem; Singular Perturbation; Third Order Differential Equation; Third order equation; Boundary value problem; Asymptotic expansion; Differential equation; Two point boundary value problem; Singular perturbation; Maximum principle; Asymptotic approximation; Boundary layer; Finite difference method

A class of singularly perturbed two point boundary value problems (BVPs) for third order ordinary differential equations is considered. The BVP is reduced to a weakly coupled system of one first order Ordinary Differential Equation (ODE) with a suitable initial condition and one second order singula...