A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin-Bona-Mahony-Burgers equation

DOI10.1016/j.matcom.2023.08.041OpenAlexW4386419072MaRDI QIDQ6089638

Eric Ngondiep

Publication date: 13 November 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2023.08.041

zbMATH Keywords

error estimatesfinite element methodunconditional stabilitypiecewise polynomial interpolationcombined finite element/interpolation approachmultidimensional nonlinear generalized Benjamin-Bona-Mahony-Burgers equations

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (1)

A posteriori error estimate of MacCormack rapid solver method for two-dimensional incompressible Navier-Stokes problems

Cites Work

• Unnamed Item
• Galerkin finite element method for the Rosenau-RLW equation
• Haar wavelet approximation for magnetohydrodynamic flow equations
• New periodic and soliton solutions for the generalized BBM and Burgers-BBM equations
• A finite difference solution of the regularized long-wave equation
• Some new solitonary solutions of the modified Benjamin-Bona-Mahony equation
• Approximate explicit solutions of nonlinear BBMB equations by He's methods and comparison with the exact solution
• The first integral method for modified Benjamin-Bona-Mahony equation
• Optimal decay rates of solutions for a multidimensional generalized benjamin-Bona-Mahony equation
• The convergence of fully discrete Galerkin approximations for the Benjamin--Bona--Mahony (BBM) equation
• Exact solutions for Calogero-Bogoyavlenskii-Schiff equation using symmetry method
• Approximate general and explicit solutions of nonlinear BBMB equations by exp-function method
• Exponential decay rate of solutions toward traveling waves for the Cauchy problem of generalized Benjamin-Bona-Mahony-Burgers equations
• Stability analysis of maccormack rapid solver method for evolutionary Stokes-Darcy problem
• Long time unconditional stability of a two-level hybrid method for nonstationary incompressible Navier-Stokes equations
• The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
• Degenerate boundary layer solutions to the generalized Benjamin-Bona-Mahony-Burgers equation
• An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
• On the selection of a good value of shape parameter in solving time-dependent partial differential equations using RBF approximation method
• Long time stability and convergence rate of MacCormack rapid solver method for nonstationary Stokes-Darcy problem
• Exact solutions of the generalized \((2+1)\)-dimensional nonlinear evolution equations via the modified simple equation method
• Multiple-order breathers for a generalized \((3+1)\)-dimensional Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation near the offshore structure
• Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank-Nicolson method for evolutionary mixed Stokes-Darcy model
• A two-level fourth-order approach for time-fractional convection-diffusion-reaction equation with variable coefficients
• Rogue wave solutions of the generalized \(( 3 + 1)\)-dimensional Kadomtsev-Petviashvili equation
• Galerkin finite element solution for Benjamin-Bona-Mahony-Burgers equation with cubic B-splines
• A new class of polynomial functions for approximate solution of generalized Benjamin-Bona-Mahony-Burgers (gBBMB) equations
• The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate
• The numerical solution of nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation via the meshless method of radial basis functions
• A robust numerical two-level second-order explicit approach to predicting the spread of Covid-2019 pandemic with undetected infectious cases
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• A novel three-level time-split MacCormack scheme for two-dimensional evolutionary linear convection-diffusion-reaction equation with source term
• A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation With Time Dependent Dispersion Coefficients and Source Terms
• A high-order numerical scheme for multidimensional convection-diffusion-reaction equation with time-fractional derivative
• A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation

This page was built for publication: A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin-Bona-Mahony-Burgers equation