October 2018

Derivation of a new block fifth order method for numerical solution of first order initial value problems

A new block method of order five for the numerical solution of initial value problems is derived. The coefficients of the matrix of the method are chosen such that low power of the blocksize appears in the principal local truncation error. The stability polynomial is shown to be a perturbation of   order explicit Runge-Kutta method. Key words: Predictor-corrector methods, ordinary differential equations,...

Author(s): Salman H. Abbas and Noor A. Jalil Alshakhoori  

October 2018

A study on exact solution of the telegraph equation by (G'/G)-expansion method

In this article, an exact solution of the Telegraph equation is solved by  -Expansion method and this is one of the most popular example both linear and non-linear partial differential equations. The  -Expansion method is simple and powerful analyzed for getting some sets of exact solutions. To develop the theory and to visualize the graph, the mathematical software MAPLE was used. This method also gives us...

Author(s): Muhammad Minarul Islam and Mohammad Sanjeed Hasan