In this paper, some modifications of Adomian decomposition method are presented for solving initial value problems in ordinary differential equations. Also, the restarted and two-step methods are ...

Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...

The initial value problem solution of the nonlinear shallow water-wave equations is developed under initial waveforms with and without velocity. We present a solution method based on a hodograph-type ...

One of the largest publishers in the United States, the Johns Hopkins University Press combines traditional books and journals publishing units with cutting-edge service divisions that sustain ...

Department of Mathematics, Ondo State University of Science and Technology, Okitipupa, Nigeria. In Awoyemi [8] , linear multi-step methods with continuous coefficient for initial value problem of the ...