Block Hybrid k-Step Backward Differentiation Formulas for Large Stiff Systems. (20th October 2014)

• Record Type: Journal Article
• Authors: Jator, S. N.; Agyingi, E.
• Other Names: Xu Zhijie Academic Editor.
• Is Part Of: International journal of computational mathematics. Volume 2014(2014)
• Publication Date: 2014-10-20
• Subjects: Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Periodicals; 518.05
• DOI: 10.1155/2014/162103
• Languages: English
• ISSNs: 2356-797X

Abstract

Abstract : This paper presents a generalized high order block hybrid k -step backward differentiation formula (HBDF) for solving stiff systems, including large systems resulting from the semidiscretization parabolic partial differential equations (PDEs). A block scheme in which two off-grid points are specified by the zeros of the second degree Chebyshev polynomial of the first kind is examined for convergence, L and A stabilities. Numerical simulations that illustrate the accuracy of a Chebyshev based method are given for selected stiff systems and partial differential equations.