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Laguerre Matrix-Collocation Method to Solve Systems of Pantograph Type Delay Differential Equations
(Springer, 2020)
In this study, an improved matrix method based on collocation points is developed to obtain the approximate solutions of systems of high-order pantograph type delay differential equations with variable coefficients. These ...
A new computational method based on Laguerre polynomials for solving certain nonlinear partial integro differential equations
(Polish Academy of Sciences, 2017)
In this study, we consider some nonlinear partial integro-differential equations. Most of these equations are used as mathematical models in many problems of physics, biology, chemistry, engineering, and in other areas. ...
Laguerre polynomial solutions of a class of delay partial functional differential equations
(Polish Academy of Sciences, 2017)
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 ...
Modified Laguerre collocation method for solving 1-dimensional parabolic convection-diffusion problems
(John Wiley and Sons Ltd, 2018)
In this study, we propose a modified Laguerre collocation method based on operational matrix technique to solve 1-dimensional parabolic convection-diffusion problems arising in applied sciences. The method transforms the ...
Laguerre polynomial approach for solving nonlinear Klein-Gordon equations
(Universiti Putra Malaysia, 2017)
In this work, we develop a matrix method based on collocation points and Laguerre polynomials to obtain the numerical approximations of the onedimensional nonlinear Klein-Gordon equations. The method is applied on some ...