On a weakly L‐stable time integration formula coupled with nonstandard finite difference scheme with application to nonlinear parabolic partial differential equations
DOI10.1002/mma.7853OpenAlexW3205533847MaRDI QIDQ6179793
Lajja Verma, Amit Kumar Verma, Mukesh Kumar Rawani, Ravi P. Agarwal
Publication date: 18 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.7853
Burgers' equationHermite interpolationFisher equationHopf-Cole transformation\(A\)-stable\(L\)-stablenonstandard finite-difference
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) KdV equations (Korteweg-de Vries equations) (35Q53) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical integration (65D30) Second-order parabolic equations (35K10)
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