Solving Delay Differential Equations by an Accurate Method with Interpolation

Abstract

We use the reproducing kernel method (RKM) with interpolation for finding approximate solutions of delay differential equations. Interpolation for delay differential equations has not been used by this method till now. The numerical approximation to the exact solution is computed. The comparison of the results with exact ones is made to confirm the validity and efficiency.

On the Matlab Technique by Using Laplace Transform for Solving Second Order Ode With Initial Conditions Exactly

“…A transformations method can be used to get an exact solution to a differential equation. There are many methods which use transformation, Laplace transforms are commonly used in solving mathematical and physical problems which contains ordinary or partial differential equations with constant coefficients and integral equations as those problems are arising in the many branches of physics as electronic circuit analysis [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. But it takes too much time for solving by hand and in papers, These ODE can be analyzed.…”

An efficient method for solving fractional Ricatti equations

“…For example, see [5][6][7]. Akgul, et al, discussed several fractional problems using different methods such as the reproducing kernel Hilbert space method [8][9][10][11][12][13][14][15][16], while Alquran, et al, used a fractional power series method [17][18][19][20][21][22][23][24]. In this article, we consider the following class of equations:…”

Reproducing kernel Hilbert space method for solutions of a coefficient inverse problem for the kinetic equation

“…Al e'damat applied analytical-numerical method for solving a class of two-point boundary value problems [14]. For more details see [15][16][17][18][19][20][21].…”