Using a numerical method by omitting discretization of data to study numerical solutions for boundary value problems of fractional order differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5800
Abstract: This manuscript is concerned to the numerical solutions by using shifted Jacobi polynomials (SJPs). By means of these polynomials, we construct some operational matrices (OMs) of fractional order integration and differentiation omitting collocations or discretization… read more here.
Keywords: order; numerical solutions; fractional order; numerical method ... See more keywords
A NEW NUMERICAL TREATMENT FOR FRACTIONAL DIFFERENTIAL EQUATIONS BASED ON NON-DISCRETIZATION OF DATA USING LAGUERRE POLYNOMIALS
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DOI: 10.1142/s0218348x20400460
Abstract: In this research work, we discuss an approximation techniques for boundary value problems (BVPs) of differential equations having fractional order (FODE). We avoid the method from discretization of data by applying polynomials of Laguerre and… read more here.
Keywords: numerical treatment; discretization data; treatment fractional; differential equations ... See more keywords