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A Seven-Step Block Multistep Method for the Solution of First Order Stiff Differential Equations

Solomon Gebregiorgis
Hailu Muleta


In this paper, a seven-step block method for the solution of first order initial value problem in ordinary differential equations based on collocation of the differential equation and interpolation of the approximate solution using power series have been formed. The method is found to be consistent and zero-stable which guarantees convergence. Finally, numerical examples are presented to illustrate the accuracy and effectiveness of the method.

 Keywords: Power series, Collocation, Interpolation, Block method, Stiff.

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eISSN: 2220-184X
print ISSN: 2073-073X