Numerical Methods

Implicit One-step L-stable Generalized Hybrid Methods for the Numerical Solution of First Order Initial Value problems

In this paper, we introduce the new class of implicit L-stable generalized hybrid methods for the numerical solution of first order initial value problems. We generalize the hybrid methods with utilize ynv directly in the right hand side of classical hybrid methods. The numerical experimentation showed that our method is considerably more efficient compared to well known methods used for the n...

Symplectic and symmetric methods for the numerical solution of some mathematical models of celestial objects

In the last years, the theory of numerical methods for system of non-stiff and stiff ordinary differential equations has reached a certain maturity. So, there are many excellent codes which are based on Runge–Kutta methods, linear multistep methods, Obreshkov methods, hybrid methods or general linear methods. Although these methods have good accuracy and desirable stability properties such as A...

Numerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods

Application of Numerical Methods in the Analysis of Mat Foundations and Limitations of Classical Methods

Convergence of Numerical Method For the Solution of Nonlinear Delay Volterra Integral ‎Equations‎

‎‎In this paper, Solvability nonlinear Volterra integral equations with general vanishing delays is stated. So far sinc methods for approximating the solutions of Volterra integral equations have received considerable attention mainly due to their high accuracy. These approximations converge rapidly to the exact solutions as number sinc points increases. Here the numerical solution of nonlinear...

Numerical Solution of Sawada-Kotera equation by using Iterative Methods