Journal
ROMANIAN JOURNAL OF PHYSICS
Volume 59, Issue 7-8, Pages 646-657Publisher
EDITURA ACAD ROMANE
Keywords
Functional differential equations; Fractional pantograph equation; Collocation method; Generalized Laguerre-Gauss quadrature; Generalized Laguerre polynomials
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Funding
- Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah [4-135-35-RG]
- DSR
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The manuscript is concerned with a generalization of the fractional pantograph equation which contains a linear functional argument. This type of equation has applications in many branches of physics and engineering. A new spectral collocation scheme is investigated to obtain a numerical solution of this equation with variable coefficients on a semi-infinite domain. This method is based upon the generalized Laguerre polynomials and Gauss quadrature integration. This scheme reduces solving the generalized fractional pantograph equation to a system of algebraic equations. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented.
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