A new stable collocation method for solving a class of nonlinear fractional delay differential equations

DOI10.1007/s11075-019-00858-9zbMath1456.65055OpenAlexW2998165478WikidataQ126395535 ScholiaQ126395535MaRDI QIDQ827064

N. E. Zubov

Publication date: 6 January 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-019-00858-9

zbMATH Keywords

nonlinear differential equationsfractional delay differential equations\( \varepsilon \)-approximate solutionsNewton's iterative formula

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Functional-differential equations with fractional derivatives (34K37)

Related Items (7)

A low-cost computational method for solving nonlinear fractional delay differential equations ⋮ Stability and bifurcation analysis of a fractional order delay differential equation involving cubic nonlinearity ⋮ A re-scaling spectral collocation method for the nonlinear fractional pantograph delay differential equations with non-smooth solutions ⋮ Krawtchouk wavelets method for solving Caputo and Caputo–Hadamard fractional differential equations ⋮ A streamlined numerical method to treat fractional nonlinear terminal value problems with multiple delays appearing in biomathematics ⋮ Higher order numerical schemes for the solution of fractional delay differential equations ⋮ A meshless method for solving nonlinear variable-order fractional Ginzburg-Landau equations on arbitrary domains

Uses Software

• NewtonLib

Cites Work

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