Analytic Method for Solution the Heat Equation

An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions

In the present paper, a numerical method is considered for solving one-dimensional heat equation subject to both Neumann and Dirichlet initial boundary conditions. This method is a combination of collocation method and radial basis functions (RBFs). The operational matrix of derivative for Laguerre-Gaussians (LG) radial basis functions is used to reduce the problem to a set of algebraic equatio...

Solution for the Heat Equation

Legendre wavelets method for numerical solution of time-fractional heat equation

In this paper, we develop an efficient Legend...

Analytic Approximate Solution for Falkner-Skan Equation

This paper deals with the Falkner-Skan nonlinear differential equation. An analytic approximate technique, namely, optimal homotopy asymptotic method (OHAM), is employed to propose a procedure to solve a boundary-layer problem. Our method does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. The obtained re...

Analytic Solution of Multipantograph Equation

where λ, μ1, μ2, . . . , μk, y0 ∈ C, has been studied by numerous authors e.g., 1–8 . Secondorder versions of this equation have also been studied e.g., 9, 10 . The enduring interest in this equation is due partially to the number of applications it has found such as a current collection system for an electric locomotive, cell growth models, biology, economy, control, and electrodynamics e.g., ...