IJPAM: Volume 53, No. 1 (2009)

NOVEL FINITE DIFFERENCE SCHEMES FOR
THIRD ORDER BOUNDARY VALUE PROBLEMS

S.N. Jator
Department of Mathematics
Austin Peay State University
Clarksville, TN 37044, USA
e-mail: [email protected]


Abstract.Multiple finite difference methods (MFDMs) are obtained from a continuous $k$-step linear multistep method (LMM) and applied to solve third order boundary value problems (BVPs). Convergence of the MFDMs is established through consistency and zero-stability by expressing them as a block method. The intervals of absolute stability for the methods are calculated using the boundary locus technique. Numerical experiments are performed to show the efficiency of the methods.

Received: March 24, 2009

AMS Subject Classification: 65L05, 65L06, 65L12

Key Words and Phrases: multiple finite difference methods, third order, boundary value problem, block methods, multistep methods

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 53
Issue: 1