Modified Crank-Nicholson difference schemes for ultra-parabolic equations

DOI10.1016/j.camwa.2012.08.010zbMath1268.65109OpenAlexW2016331318MaRDI QIDQ356244

Allaberen Ashyralyev, Serhat Yilmaz

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.08.010

zbMATH Keywords

difference schemesnumerical solutionsstability estimates\texttt{Matlab} implementationultra-parabolic equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (3)

A finite difference scheme for nonlinear ultra-parabolic equations ⋮ A Splitting Numerical Method for Primary and Secondary Pollutant Models ⋮ On Fujita critical exponent for a nonlinear ultraparabolic equation in an exterior domain

Uses Software

• Matlab

Cites Work

• An approximation of ultra-parabolic equations
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• Modified Crank-Nicolson difference schemes for nonlocal boundary value problem for the Schrödinger equation
• Nonlinear age-dependent population dynamics with random diffusion
• Well-posedness of parabolic difference equations. Transl. from the Russian by A. Iacob
• Numerical methods for ultraparabolic equations
• Zur Theorie der stetigen zufälligen Prozesse
• An age and spatially structured model of tumor invasion with haptotaxis
• An age structured population model in a spatially heterogeneous environment: existence and uniqueness theory
• On Modified Crank–Nicholson Difference Schemes for Stochastic Parabolic Equation
• On the modified Crankâ Nicholson difference schemes for parabolic equation with non-smooth data arising in biomechanics
• Fractional spaces generated by the positive differential and difference operators in a Banach space
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