One Step Hybrid Non-Linear Method for Stiff First Order Initial value Problems

Mohammed Danladi, Usman; D., Umar,; A. O, Adesanya,; R. O, Onsachi,; G, Ajileye,

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Research Article

One Step Hybrid Non-linear Method for Stiff First Order Initial Value Problems

Umar, D., Adesanya, A. O, Onsachi, R. O, Ajileye, G

Umar, D. — Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria ^*
Adesanya, A. O — Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria
Onsachi, R. O — Department of Mathematics, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria
Ajileye, G — Department of Mathematics, Federal University Wukari, Taraba State, Nigeria

Volume: 7, Issue 1 Year: 2019 Pages: 46-55 Published: January 1, 2019

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Abstract

This paper considers interpolation and collocation of rational approximate solution to give a continuous one step non-linear method for the solution of stiff initial value problems. The continuous method is evaluated at selected grid points to give discrete methods which are implemented in predictor-corrector method. The developed methods are found to be convergent and L-stable. Numerical results show that the method is efficient in handling stiff problems.

Keywords

Interpolation collocation rational approximate solution non-linear method continuous one step method AMS subject classification: 65L05 65L0D 65D30

How to Cite

D., U., & O, A.A., & O, O.R., & G, A. (2019). One Step Hybrid Non-linear Method for Stiff First Order Initial Value Problems. Adamawa State University Journal of Scientific Research , 7(1) , 46-55.

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January 1, 2019

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