On the Role of Taylor Expansion with Exponential Nonlinearity in BVP

I. K. Youssef • H. S. Mansour
Journal article World Journal of Research and Review • April 2018

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(English, 3 pages)

Abstract

The finite difference method is employed to introduce a consistent nonlinear system of algebraic equations corresponding to the nonlinear boundary value problem (BVP). Taylor expansion is used as a linearization technique to introduce a linear algebraic system of equations approximating the nonlinear system. Solutions of the linearized system are taken as the initiation for the Newtonrsquos Raphson iteration when solving the nonlinear system. Application nbspto Bratursquos problem and similar problems with damping effects have illustrated the efficiency of the treatment. Two numerical examples with their graphical representation are given. The calculated results have illustrated the correctness of the treatment.

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World Journal of Research and Review

World Journal of Research and Review (WJRR) is a multidisciplinary journal that publishes peer-re... see more