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A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations
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Orientador(es)
Resumo(s)
This paper addresses a stable three-level explicit scheme for a class of nonlinear time variable
order fractional partial differential equations. The proposed strategy is based on the
linear B-spline approximation of the time variable order fractional derivative in the Caputo
sense and the Du Fort–Frankel algorithm. The unconditional stability and the convergence
of the scheme are established. Several numerical results confirm the accuracy and
efficiency of the novel scheme.
Descrição
Palavras-chave
Time fractional partial differential equations Initial–boundary value problems Spline approximation Finite difference method Stability and convergence
Contexto Educativo
Citação
Editora
Elsevier