Stability analysis for fractional‐order partial differential equations by means of space spectral time Adams‐Bashforth Moulton method

DOI10.1002/num.22171zbMath1383.65104OpenAlexW2624843262MaRDI QIDQ4603187

Khadija Maqbool, Ayesha Sohail, Rahmat Ellahi

Publication date: 19 February 2018

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22171

zbMATH Keywords

convergencenumerical examplestability analysismethod of linesfractional partial differential equationsspectral transformationmultistep finite differentiation schemespace spectral time Adams-Bashforth Moulton method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for first-order hyperbolic equations (35L03)

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Cites Work

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• Detailed error analysis for a fractional Adams method
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• Fractional Partial Differential Equations and Their Numerical Solutions
• Fourier Methods with Extended Stability Intervals for the Korteweg–de Vries Equation
• Spectral Methods in MATLAB
• An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
• Solving nonlinear fractional partial differential equations using the homotopy analysis method

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