An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations

DOI10.1186/s13662-020-03160-4zbMath1487.65162OpenAlexW3165718551MaRDI QIDQ2138860

Sirajul Haq, Ihteram Ali, Kottakkaran Sooppy Nisar, Dumitru Baleanu

Publication date: 12 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-03160-4

zbMATH Keywords

stability analysisfinite differencesFibonacci polynomialsLucas polynomials

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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (10)

Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory ⋮ Generalized Lucas tau method for the numerical treatment of the one and two-dimensional partial differential heat equation ⋮ Pell collocation pseudo spectral scheme for one-dimensional time-fractional convection equation with error analysis ⋮ Optimized decomposition method for solving multi-dimensional Burgers' equation ⋮ Unnamed Item ⋮ Numerical study of 1D and 2D advection-diffusion-reaction equations using Lucas and Fibonacci polynomials ⋮ An efficient numerical method based on Lucas polynomials to solve multi-dimensional stochastic Itô-Volterra integral equations ⋮ A computational method based on the generalized Lucas polynomials for fractional optimal control problems ⋮ Lucas wavelet scheme for fractional Bagley-Torvik equations: Gauss-Jacobi approach ⋮ Computational and numerical investigation of the batch Markovian arrival process subject to renewal generated geometric catastrophes

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