Preprint Article Version 1 NOT YET PEER-REVIEWED

New algorithm for problems with exponential solutions

  1. Department of Mathematics, Modibbo Adama University of Technology, Yola, Nigeria
Version 1 : Received: 10 July 2016 / Approved: 11 July 2016 / Online: 11 July 2016 (08:15:27 CEST)

How to cite: Adesanya, O.; Onsachi, O.; Odekunle, R. New algorithm for problems with exponential solutions. Preprints 2016, 2016070018 (doi: 10.20944/preprints201607.0018.v1). Adesanya, O.; Onsachi, O.; Odekunle, R. New algorithm for problems with exponential solutions. Preprints 2016, 2016070018 (doi: 10.20944/preprints201607.0018.v1).

Abstract

In this paper, we consider the development of algorithms for the solution of first order initial value problems whose solution exhibits exponential behaviour. Method of interpolation and collocation of basis function to give system of nonlinear equations which is solved for the unknown parameters to give a continuous scheme. The discrete methods recovered from the continuous scheme are implemented in block form. The stability properties of the method is verified and numerical experiments show that our method is efficient in handling these problems

Subject Areas

Exponentially-fitted method, interpolation, collocation, stability properties, continuous method, stiff problems

Readers' Comments and Ratings (0)

Discuss and rate this article
Views 173
Downloads 139
Comments 0
Metrics 0
Discuss and rate this article

×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.