Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives
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Publication:1615871
DOI10.1016/j.apnum.2018.09.010zbMath1404.62080OpenAlexW2891417317WikidataQ129225541 ScholiaQ129225541MaRDI QIDQ1615871
Yongtao Zhou, Cheng-Jian Zhang
Publication date: 31 October 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.09.010
convergenceglobal stabilitynumerical experimentblock boundary value methodsnonlinear fractional differential equationsCaputo derivatives
Stability and convergence of numerical methods for ordinary differential equations (65L20) Sequential statistical design (62L05) Fractional ordinary differential equations (34A08)
Related Items (14)
Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation Via Block Boundary Value Methods ⋮ Convergence and global stability analysis of fractional delay block boundary value methods for fractional differential equations with delay ⋮ Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods ⋮ A kind of generalized backward differentiation formulae for solving fractional differential equations ⋮ Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations ⋮ Implicit-explicit time integration of nonlinear fractional differential equations ⋮ Compact block boundary value methods for semi‐linear delay‐reaction–diffusion equations with algebraic constraints ⋮ Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels ⋮ Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods ⋮ One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives ⋮ Block boundary value methods for linear weakly singular Volterra integro-differential equations ⋮ Convergence and stability of extended BBVMs for nonlinear delay-differential-algebraic equations with piecewise continuous arguments ⋮ Extended block boundary value methods for neutral equations with piecewise constant argument ⋮ Numerical approximation to nonlinear delay-differential-algebraic equations with proportional delay using block boundary value methods
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