A Laplace variational iteration strategy for the solution of differential equations. (English) Zbl 1252.65128

Summary: The aim of this article is to introduce a novel Laplace variational numerical scheme, based on the variational iteration method and Laplace transform, for the solution of certain classes of linear and nonlinear differential equations. The strategy is outlined and then illustrated through a number of test examples. The results assert that this alternative approach yields accurate results, converges rapidly and handles impulse functions and the ones with discontinuities.


65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
44A10 Laplace transform
65L20 Stability and convergence of numerical methods for ordinary differential equations
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