Block Diagonally Implicit Runge-Kutta Method for Solving Ordinary Differential Equations

Block diagonally implicit Runge-Kutta (BDIRK) method of second order is derived using Butcher analysis and equi-distribution of errors (EDE) approach to outperform standard Runge-Kutta formulae. BDIRK method produces simultaneously approximation to the solution of the initial value problem (IVP) at...

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Bibliographic Details

Main Author:	Rahim, Yong Faezah
Format:	Thesis
Language:	English English
Published:	2004
Subjects:	Differential equations - Numerical solutions Runge-Kutta formulas
Online Access:	http://psasir.upm.edu.my/id/eprint/483/1/549720_FSAS_2004_14.pdf