A high order numerical method and its convergence for time-fractional fourth order partial differential equations
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DOI: 10.1016/j.amc.2019.124727
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- Goura, V.M.K. Prasad & Roul, Pradip, 2019. "Erratum to: B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 198-201.
- Roul, Pradip & Madduri, Harshita & Kassner, Klaus, 2019. "A sixth-order numerical method for a strongly nonlinear singular boundary value problem governing electrohydrodynamic flow in a circular cylindrical conduit," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 416-433.
- Al-Smadi, Mohammed & Arqub, Omar Abu, 2019. "Computational algorithm for solving fredholm time-fractional partial integrodifferential equations of dirichlet functions type with error estimates," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 280-294.
- Roul, Pradip & Prasad Goura, V.M.K., 2019. "B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 428-450.
- S. C. S. Rao & M. Kumar, 2007. "B-Spline Collocation Method for Nonlinear Singularly-Perturbed Two-Point Boundary-Value Problems," Journal of Optimization Theory and Applications, Springer, vol. 134(1), pages 91-105, July.
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- Liu, Li & Fan, Zhenbin & Li, Gang & Piskarev, Sergey, 2021. "Discrete almost maximal regularity and stability for fractional differential equations in Lp([0, 1], Ω)," Applied Mathematics and Computation, Elsevier, vol. 389(C).
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Keywords
Time fractional equation; Sextic B-spline basis function; Collocation; Convergence analysis; Stability; Caputo’s derivative;All these keywords.
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