In the present article, fractional order differential difference equation is solved by using residual power series method. Residual method solutions for classical and are obtained in a form showing good accuracy of Illustrative models considered to affirm legitimacy technique. The chosen problems represented tables plots which show between exact assimilated models.

This paper contains a numerical analysis of stability, order of accuracy and consistencyof the staggered grid finite difference scheme, used on the elastic wave-equation, as de-scribed by Levander (1988). 1 Finite Difference Analysis1.1 Analysis of Finite Difference SchemesA given partial differential equation can be solved using finite differences. As an example,conside...

This paper focuses on applying the GDTM-Padé technique to solve the non-linear differential-difference equation. The bell-shaped solitary wave solution of Belov-Chaltikian lattice equation is considered. Comparison between the approximate solutions and the exact ones shows that this technique is an efficient and attractive method for solving the differential-difference equations.

In this paper, we proposed an unconditionally stable NonStandard Finite Difference (NSFD) scheme to solve nonlinear Riccati differential equation. The accuracy and efficiency of the proposed scheme is verified by comparing the results with other numerical techniques such as Euler and RK-4 and semi analytical technique DTM. The obtained results show that the performance of NSFD scheme is more ac...