In this paper, we originate results with finite difference schemes to approximate the solution of the classical Fisher Kolmogorov Petrovsky Piscounov (KPP) equation from population dynamics. Fisher’s equation describes a balance between linear diffusion and nonlinear reaction. Numerical example illustrates the efficiency of the proposed schemes, also the Neumann stability analysis reveals that ...

here, adomian decomposition method has been used for finding approximateand numerical solutions of nonlinear differential difference equations arising inmathematical physics. two models of special interest in physics, namely, thehybrid nonlinear differential difference equation and relativistic toda couplednonlinear differential-difference equation are chosen to illustrate the validity andthe g...

This paper proposes a new approach to ac circuits numerical simulation. After introducing spiral vector theory which is a new ac theory, I apply this new theory to ac circuits numerical simulation and propose a new approach that uses spiral vector state variables in both steady and transient state situation. Furthermore, with an ac RLC series circuit example, I make comparisons between the gene...

A method for ranking of alternatives or objects and its extensions by incomplete pairwise comparisons using Dempster-Shafer theory are proposed in the paper. The main feature of the method is that it allows us to deal with comparisons of arbitrary subsets of alternatives. The method is extended on the case of independent groups of experts. The imprecise Dirichlet model is also used to make caut...

Investigated in this report is the Rayleigh-Bénard problem with rotation and a periodic temperature distribution. Both approximate and numerical solutions to the steady-state and unsteady equations have been obtained. The numerical results are based on a finite difference method together with an implicit time stepping method and an iteration algorithm. The analytical results, on the other hand,...

In this paper we present a numerical scheme for solving Burgers equation using B-spline finite element method. Main advantages of the present technique are: it is simple, efficient and moreover easy to understand. Some numerical examples are considered to test the functioning of proposed scheme. Results obtained from the given method of solution are validated by means of comparisons made with t...