Laguerre polynomial solutions of a class of delay partial functional differential equations
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Date
2017
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Abstract
In this study, we develop a novel matrix collocation method based on the Laguerre polynomials to find the approximate solutions of some parabolic delay differential equations with integral terms subject to appropriate initial and boundary conditions. The method reduces the solution of the mentioned equations to the solution of a matrix equation which corresponds to system of algebraic equations with unknown Laguerre coefficients. Besides, the error analysis together with numerical results are performed to illustrate the efficiency of our method computationally.
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Keywords
Algebra , Boundary conditions , Differential equations , Matrix algebra , Numerical methods , Algebraic equations , Approximate solution , Collocation method , Delay differential equations , Initial and boundary conditions , Laguerre polynomial , Numerical results , Partial functional differential equation , Polynomials