Simon Fraser University

Ordinary Differential Equations

Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...
Scientific Research Publishing

Kiymaz, O. (2009) An Algorithm for Solving Initial Value Problems Using Laplace Adomian Decomposition Method. Applied Mathematical Sciences, 3, 1453-1459.

ABSTRACT: This paper proposes the Laplace Discrete Adomian Decomposition Method and its application for solving nonlinear integro-differential equations. This method is based upon the Laplace Adomian ...
JSTOR Daily

Asymptotic Solutions of Inhomogeneous Initial Boundary Value Problems for Weakly Nonlinear Partial Differential Equations

SIAM Journal on Applied Mathematics, Vol. 22, No. 4 (Jun., 1972), pp. 629-647 (19 pages) The two-time perturbation procedure is applied to a class of inhomogeneous initial boundary value problems for ...
IEEE

The existence of solutions for initial value problems of nonlinear fractional hybrid differential equations of variable-order

Abstract: The existence and uniqueness of solutions of nonlinear fractional differential equations is the key point for stability theory and the design of feedback stabilization controllers. In this ...
JSTOR Daily

Logarithmic Reduction of the Wrapping Effect with Application to Ordinary Differential Equations

SIAM Journal on Numerical Analysis, Vol. 25, No. 1 (Feb., 1988), pp. 153-162 (10 pages) For moderate-sized problems one can obtain numerical solutions with rigorous ...