A Block Hybrid Implicit Algorithms for Solution of First Order Differential Equations
Y. A. Yahaya
Department of Mathematics and Statistics, Federal University of Technology, Minna, Nigeria.
Asabe A. Tijjani
Department of Mathematics, Federal College of Education, Kontagora, Nigeria.
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Abstract
The paper consider the derivation of block hybrid algorithms , with k=4 for solution of first order ordinary differential equations, we adopted the method of interpolation and collocation of power series approximation to generate the continuous formula, which was evaluated at off grid and some grid points within the step length to generate the proposed block schemes. Also the schemes obtained were investigated and found to be consistent and zero stable. Finally the method is tested with numerical experiments to ascertain their level of accuracy.
Keywords: Block method, off- grid, higher order, consistent and zero stability.