Dealing with Functional Coefficients Within Tau Method
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DOI: 10.1007/s11786-018-0331-y
Abstract: The spectral tau method was originally proposed by Lanczos for the solution of linear differential problems with polynomial coefficients. In this contribution we present three approaches to tackle integro-differential equations with non-polynomial coefficients: (i) making… read more here.
Keywords: coefficients within; tau method; method; functional coefficients ... See more keywords
A Time-Splitting Tau Method for PDE’s: A Contribution for the Spectral Tau Toolbox Library
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DOI: 10.1007/s11786-022-00526-7
Abstract: This paper presents implementation details of an extension of the algebraic formulation for the spectral Tau method for the numerical solution of time-space partial differential problems, together with illustrative numerical examples. This extension implementation highlights… read more here.
Keywords: time; tau toolbox; tau; spectral tau ... See more keywords
Numerical Solution of Open-Loop Nash Differential Games Based on the Legendre Tau Method
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DOI: 10.3390/g11030028
Abstract: In this paper, an efficient implementation of the Tau method is presented for finding the open-loop Nash equilibrium of noncooperative nonzero-sum two-player differential game problems with a finite-time horizon. Regarding this approach, the two-point boundary… read more here.
Keywords: open loop; tau method; loop nash; method ... See more keywords
Interpolating Scaling Functions Tau Method for Solving Space-Time Fractional Partial Differential Equations
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DOI: 10.3390/sym14112463
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).… read more here.
Keywords: time fractional; solving space; interpolating scaling; tau method ... See more keywords