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A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
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Orientador(es)
Resumo(s)
This paper addresses the approximate solution of the fractional Riccati differential equation (FRDE) in large domains. First, the solution interval is divided into a finite number of
subintervals. Then, the Legendre–Gauss–Radau points along with the Lagrange interpolation
method are employed to approximate the FRDE solution in each subinterval. The method
has the advantage of providing the approximate solutions in large intervals. Additionally, the
convergence analysis of the numerical algorithm is also provided. Three illustrative examples
are given to illustrate the efficiency and applicability of the proposed method.
Descrição
Palavras-chave
Fractional calculus Riccati differential equation Legendre–Gauss–Radau points Lagrange interpolation
Contexto Educativo
Citação
Editora
Springer