期刊
ROMANIAN JOURNAL OF PHYSICS
卷 59, 期 7-8, 页码 646-657出版社
EDITURA ACAD ROMANE
关键词
Functional differential equations; Fractional pantograph equation; Collocation method; Generalized Laguerre-Gauss quadrature; Generalized Laguerre polynomials
资金
- Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah [4-135-35-RG]
- DSR
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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