An Accurate Integral Solution for Solving the Pantograph Equation

Muhammed I. Syam; H. M. Jaradat

doi:10.1007/s40819-017-0390-9

An Accurate Integral Solution for Solving the Pantograph Equation

Muhammed I. Syam, H. M. Jaradat

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study the Pantograph equation. The integral fixed point method is employed to compute an approximation to the solution of this problem. The validity of the proposed method is ascertained by comparing our results with other methods in the literature. The results reveal that the proposed analytical method can achieve excellent results in predicting the solutions of such problems. The existence of the solution is proved.

Original language	English
Pages (from-to)	925-935
Number of pages	11
Journal	International Journal of Applied and Computational Mathematics
Volume	3
DOIs	https://doi.org/10.1007/s40819-017-0390-9
Publication status	Published - Dec 1 2017

Keywords

Fixed point iteration
Integral solution
Nonlinear boundary value problem
Pantograph equation

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/s40819-017-0390-9

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abstract = "In this paper, we study the Pantograph equation. The integral fixed point method is employed to compute an approximation to the solution of this problem. The validity of the proposed method is ascertained by comparing our results with other methods in the literature. The results reveal that the proposed analytical method can achieve excellent results in predicting the solutions of such problems. The existence of the solution is proved.",

keywords = "Fixed point iteration, Integral solution, Nonlinear boundary value problem, Pantograph equation",

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N2 - In this paper, we study the Pantograph equation. The integral fixed point method is employed to compute an approximation to the solution of this problem. The validity of the proposed method is ascertained by comparing our results with other methods in the literature. The results reveal that the proposed analytical method can achieve excellent results in predicting the solutions of such problems. The existence of the solution is proved.

AB - In this paper, we study the Pantograph equation. The integral fixed point method is employed to compute an approximation to the solution of this problem. The validity of the proposed method is ascertained by comparing our results with other methods in the literature. The results reveal that the proposed analytical method can achieve excellent results in predicting the solutions of such problems. The existence of the solution is proved.

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KW - Integral solution

KW - Nonlinear boundary value problem

KW - Pantograph equation

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An Accurate Integral Solution for Solving the Pantograph Equation

Abstract

Keywords

ASJC Scopus subject areas

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