Keywords:-

Keywords: Exponentially Fitted Collocation Method (EFCM), homogeneous equations, Initial value problems (IVP), rate of convergence, analytical and numerical solutions

Article Content:-

Abstract

The Exponentially Fitted Method (EFM) is an analytical and numerical method for solving various homogeneous equations. In this study,we proposed a reliable numerical method named Exponentially Fitted Collocation Method (EFCM) which will increase the rate of convergence of the initial value problems. The new method is applied to third order homogenous initial value problems. The comparative study between exact solution and Exponentially Fitted Collocation Method (EFCM) is presented. The results demonstrate liability and efficiency of the new method developed.

References:-

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Taiwo, O., Falade, K., & Rafiu, S. (2014). Numerical Solution of Third Order Homogenous Differential Equations Using Exponentially Fitted Collocation Method (EFCM). International Journal Of Mathematics And Computer Research, 2(09), 639-653. Retrieved from https://ijmcr.in/index.php/ijmcr/article/view/171