Abstract
This paper is devoted to an innovative and efficient technique for solving space–time fractional differential equations (STFPDEs). To this end, we apply the Tau method such that the bases used are interpolating scaling functions (ISFs). The operational metrics for the derivative operator and fractional integration operator are used to introduce the operational matrix for the Caputo fractional derivative. Due to some characteristics of ISFs, such as interpolation, computation costs can be significantly reduced. We investigate the convergence of the technique, and some numerical implementations show that the method is effective for solving such equations.
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference24 articles.
1. Asadzadeh, M., and Saray, B.N. (2022). On a multiwavelet spectral element method for integral equation of a generalized Cauchy problem. BIT Numer. Math., 1–34.
2. Kilbas, A., Srivastava, H.M., and Trujillo, J.J. (2006). Theory and Applications of Fractional Differential Equations, Elsevier B.V.
3. Finite difference methods for fractional dispersion equations;Appl. Math. Comput.,2010
4. Podlubny, I. (1999). Fractional Differential Equations, Academic Press.
5. The construction of operational matrix of fractional derivatives using B-spline functions;Commun. Nonlinear Sci.,2012
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