A computational method for solving boundary value problems for third-order singularly perturbed ordinary differential equations

• Published in: Applied mathematics and computation Vol. 129; no. 2; pp. 345 - 373
• Main Authors: Valarmathi, S., Ramanujam, N.
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 10.07.2002; Elsevier
• Subjects: Asymptotic approximation; Boundary layer; Exact sciences and technology; Exponentially fitted finite difference scheme; Mathematical analysis; Mathematics; Non-self-adjoint boundary value problem; Numerical analysis; Numerical analysis. Scientific computation; Ordinary differential equations; Sciences and techniques of general use; Singular perturbation; Third-order differential equation; Exponentially fitted finite difference scheme; Non-self-adjoint boundary value problem; Asymptotic approximation; Singular perturbation; Third-order differential equation; Boundary layer; Third order equation; Boundary value problem; Differential equation; Quasilinearization; Numerical method; Boundary condition; Newton method

Singularly perturbed two-point boundary value problems (SPBVPs) for third-order ordinary differential equations (ODEs) with a small parameter multiplying the highest derivative are considered. A numerical method is suggested in this paper to solve such problems. In this method, the given BVP is tran...