Paper Title :Continuous L-Stable Multiderivative Hybrid Implicit Runge-Kutta Method of Order Five For the Integration of Stiff Problems

Author :O. A. Akinfenwa, R. I. Abdulganiy, B. I. Akinnukawe, S.A Okunuga, U. O. Rufai

Article Citation :O. A. Akinfenwa ,R. I. Abdulganiy ,B. I. Akinnukawe ,S.A Okunuga ,U. O. Rufai , (2017 ) " Continuous L-Stable Multiderivative Hybrid Implicit Runge-Kutta Method of Order Five For the Integration of Stiff Problems " , International Journal of Management and Applied Science (IJMAS) , pp. 140-145, Volume-3,Issue-1, Special Issue-1

Abstract : A Continuous L-Stable Multiderivative Hybrid Implicit Runge-Kutta (MHIRK)methodsfor the solution of systems of first order ordinary differential equations is obtained. The method uses collocation and interpolation techniques.Power series was used as basis function for approximate solution and zeros of shifted Legendre polynomial was considered for the offstep points. The stability and consistency properties of the method are investigated. Numerical examples are given to illustrate the accuracy and efficiency of the proposed method.

Type : Research paper

Published : Volume-3,Issue-1, Special Issue-1

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