The Construction of Implicit One-step Block Hybrid Methods with Multiple Off-grid Points for the Solution of Stiff Differential Equations
Journal Title: Journal of Scientific Research and Reports - Year 2017, Vol 16, Issue 1
Abstract
This paper is focused on the construction and implementation of implicit one-step hybrid block methods for the solution of stiff ordinary differential equation. The research further investigates the basic properties of implicit one-step block hybrid method. We noticed that the moment the value of an error constant is positive, the order is odd. And when the value of an error constant is negative then the order is of even number and the block hybrid method with three off-grid point is of uniform order. The performance of the methods was demonstrated on some stiff initial value problems (IVPs). The result revealed that the hybrid block methods are efficient, accurate and convergent on some stiff ordinary differential equations.
Authors and Affiliations
Y. Skwame, J. Sabo, T. Y. Kyagya
Keywords
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- EP ID EP323469
- DOI 10.9734/JSRR/2017/36187
- Views 98
- Downloads 0
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