An indirect convergent Jacobi spectral collocation method for fractional optimal control problems
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5968
Abstract: In this paper, we present a novel indirect convergent Jacobi spectral collocation method for fractional optimal control problems governed by a dynamical system including both classical derivative and Caputo fractional derivative. First, we present some… read more here.
Keywords: indirect convergent; jacobi spectral; spectral collocation; convergent jacobi ... See more keywords
Shifted fractional Legendre spectral collocation technique for solving fractional stochastic Volterra integro-differential equations
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DOI: 10.1007/s00366-020-01263-w
Abstract: This paper presents a spectral collocation technique to solve fractional stochastic Volterra integro-differential equations (FSV-IDEs). The algorithm is based on shifted fractional order Legendre orthogonal functions generated by Legendre polynomials. The shifted fractional order Legendre–Gauss–Radau… read more here.
Keywords: shifted fractional; collocation technique; fractional stochastic; collocation ... See more keywords
The spectral collocation method for efficiently solving PDEs with fractional Laplacian
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-017-9564-6
Abstract: We derive a spectral collocation approximation to the fractional Laplacian operator based on the Riemann-Liouville fractional derivative operators on a bounded domain Ω = [a, b]. Corresponding matrix representations of (−△)α/2 for α ∈ (0,1)… read more here.
Keywords: method efficiently; collocation method; spectral collocation; fractional laplacian ... See more keywords
Spectral collocation method for weakly singular Volterra integro-differential equations
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DOI: 10.1016/j.apnum.2019.04.011
Abstract: Abstract Spectral collocation methods are developed for weakly singular Volterra integro-differential equations (VIDEs). Convergence analysis results show that global convergence order depends on the regularities of the kernels functions and solutions to VIDEs, and the… read more here.
Keywords: integro differential; singular volterra; volterra integro; weakly singular ... See more keywords
Spectral collocation method for transient thermal analysis of coupled conductive, convective and radiative heat transfer in the moving plate with temperature dependent properties and heat generation
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DOI: 10.1016/j.ijheatmasstransfer.2017.06.082
Abstract: Abstract The spectral collocation method is developed and formulated to solve transient thermal process in the moving plate with temperature dependent properties and heat generation. In this moving plate, thermal conductivity and surface emissivity are… read more here.
Keywords: temperature; collocation; heat; collocation method ... See more keywords
Space–time spectral collocation method for one-dimensional PDE constrained optimisation
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DOI: 10.1080/00207179.2018.1501161
Abstract: This paper solves an optimal control problem governed by a parabolic PDE. Using Lagrangian multipliers, necessary conditions are derived and then space–time spectral collocation method is applied to discretise spatial derivatives and time derivatives. This… read more here.
Keywords: space time; time; time spectral; collocation method ... See more keywords