BDF-type shifted Chebyshev approximation scheme for fractional functional differential equations with delay and its error analysis
Sign Up to like & getrecommendations! Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.03.013
Abstract: A numerical method for fractional order differential equations (FDEs) and constant or time-varying delayed fractional differential equations (FDDEs) is constructed. This method is of BDF-type which is based on the interval approximation of the true… read more here.
Keywords: approximation; analysis; bdf type; differential equations ... See more keywords
Spectral shifted Chebyshev collocation technique with residual power series algorithm for time fractional problems
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DOI: 10.1038/s41598-024-58493-x
Abstract: In this paper, two problems involving nonlinear time fractional hyperbolic partial differential equations (PDEs) and time fractional pseudo hyperbolic PDEs with nonlocal conditions are presented. Collocation technique for shifted Chebyshev of the second kind with… read more here.
Keywords: time; power series; shifted chebyshev; time fractional ... See more keywords
Meshless solution of third-kind Volterra integro-differential equations using collocation and shifted Chebyshev polynomials
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DOI: 10.1108/ec-01-2025-0080
Abstract: This study introduces a computational framework to solve both linear and nonlinear Volterra integro-differential equations (VIDEs) of the third kind. The framework aims to address challenges associated with solving such equations by leveraging a robust… read more here.
Keywords: kind; differential equations; integro differential; shifted chebyshev ... See more keywords