Journal of Computational and Applied Mathematics
Approximate solution of multi-pantograph equation with variable coefficients
Journal of Computational and Applied Mathematics
A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
International Journal of Computer Mathematics
Variational iteration method for solving a generalized pantograph equation
Computers & Mathematics with Applications
Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type
SIAM Journal on Numerical Analysis
Computers & Mathematics with Applications
Computers & Mathematics with Applications
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In this paper, we present a numerical approach for solving the system of multi-pantograph equations with mixed conditions. This system is usually difficult to solve analytically. By expanding the approximate solutions by means of the Bessel functions of first kind with unknown coefficients, the proposed approach consists of reducing the problem to a linear algebraic equation system. The unknown coefficients of the Bessel functions of first kind are computed using the matrix operations of derivatives together with the collocation method. An error estimation is given. The reliability and efficiency of the proposed scheme are demonstrated by some numerical examples. All of the numerical computations have been performed on a computer with the aid of a program written in Matlab.