Approximate Solution of Multi-Pantograph Equations With Variable Coefficients via Collocation Method Based on Hermite Polynomials

Authors

  • Dianchen Lu School of Sciences, Jiangsu University, Zhenjiang, Jiangsu
  • Chen Yuan School of Sciences, Jiangsu University, Zhenjiang, Jiangsu
  • Rabia Mehdi Department of Mathematics, Gomal University, Dera Ismail Khan
  • Shamoona Jabeen School of Mathematics and System Sciences, Beihang University, Beijing
  • Abdur Rashid 5School of Sciences, Jiangsu University, Zhenjiang, Jiangsu

DOI:

https://doi.org/10.26713/cma.v9i4.844

Keywords:

Multi-Pantograph equation, Collocation method, Hermite polynomials, Matrix equation, Approximate results, Accuracy

Abstract

This research article presents an approximate solution of the non-homogenous Multi-Pantograph equation comprising of variable coefficients by utilizing a collocation method based on Hermite polynomials. These orthogonal polynomials along with its collocation points transform the equation and the initial conditions into matrix equation comprising of a system of linear algebraic equations. Subsequently, by solving this system, the unknown Hermite coefficients are calculated. To reveal the accuracy and efficiency of the method applied, the approximate results obtained by this technique have been compared with exact solutions. Moreover, some numerical illustrations in the form of examples are given to exhibit the applicability of the proposed technique.

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Published

25-12-2018
CITATION

How to Cite

Lu, D., Yuan, C., Mehdi, R., Jabeen, S., & Rashid, A. (2018). Approximate Solution of Multi-Pantograph Equations With Variable Coefficients via Collocation Method Based on Hermite Polynomials. Communications in Mathematics and Applications, 9(4), 601–614. https://doi.org/10.26713/cma.v9i4.844

Issue

Vol. 9 No. 4 (2018)

Section

Research Article

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