In this paper, a new formula for Adomian polynomials is introduced. Based on this new formula, error analysis of Adomian series solution for a class of nonlinear differential equations is discussed.â€¦ (More)

This paper is interested in solving a class of nonlinear mixed Volterra Fredholm integral equations (MVFIE) numerically. In most traditional numerical methods, the original problem is transformed toâ€¦ (More)

The stochastic finite element method (SFEM) is employed for solving stochastic onedimension time-dependent differential equations with random coefficients. SFEM is used to have a fixed form of linearâ€¦ (More)

In this paper, we introduce a new algorithm for applying the Adomian decomposition method to nonlinear differential and partial differential equations. The proposed algorithm does not require theâ€¦ (More)