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A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation |
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| Authors: | E Tohidi AH Bhrawy K Erfani |
| Institution: | 1. Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;3. Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt |
| Abstract: | This paper presents a direct solution technique for solving the generalized pantograph equation with variable coefficients subject to initial conditions, using a collocation method based on Bernoulli operational matrix of derivatives. Only small dimension of Bernoulli operational matrix is needed to obtain a satisfactory result. Numerical results with comparisons are given to confirm the reliability of the proposed method for generalized pantograph equations. |
| Keywords: | Functional differential equations Pantograph equation Collocation method Direct method Operational matrix Bernoulli polynomials |
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