Lambert, J.D. (1973) Computational Methods in Ordinary Differential Equations. John Wiley, New York.

has been cited by the following article:

• TITLE: Block Unification Scheme for Elliptic, Telegraph, and Sine-Gordon Partial Differential Equations

  AUTHORS: Samuel Jator

  KEYWORDS: Extended Block Method, Elliptic and Hyperbolic PDEs, Method of Lines

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.5 No.2, June 23, 2015

  ABSTRACT: In this paper, we use the method of lines to convert elliptic and hyperbolic partial differential equations (PDEs) into systems of boundary value problems and initial value problems in ordinary differential equations (ODEs) by replacing the appropriate derivatives with central difference methods. The resulting system of ODEs is then solved using an extended block Numerov-type method (EBNUM) via a block unification technique. The accuracy and speed advantages of the EBNUM over the finite difference method (FDM) are established numerically.