Spectral method for one dimensional Benjamin-Bona-Mahony-Burgers equation using the transformed generalized Jacobi polynomial

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Spectral methods applied to problems in fluid mechanics (76M22) 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)

Cites Work

New periodic wave solutions via Exp-function method
New periodic and soliton solutions for the generalized BBM and Burgers-BBM equations
The first integral method for modified Benjamin-Bona-Mahony equation
Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations
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
Generalized Jacobi polynomials/functions and their applications
On the numerical treatment and analysis of Benjamin-Bona-Mahony-Burgers equation
Degenerate boundary layer solutions to the generalized Benjamin-Bona-Mahony-Burgers equation
Theoretical and computational structures on solitary wave solutions of Benjamin Bona Mahony-Burgers equation
Time accurate solution to Benjamin-Bona-Mahony-Burgers equation via Taylor-Boubaker series scheme
Solution of Benjamin-Bona-Mahony-Burgers equation using collocation method with quintic Hermite splines
Galerkin finite element solution for Benjamin-Bona-Mahony-Burgers equation with cubic B-splines
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
Solitary wave solution of nonlinear Benjamin-Bona-Mahony-Burgers equation using a high-order difference scheme
Spectral method for Navier-Stokes equations with slip boundary conditions
Certain non-steady flows of second-order fluids
Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
Methods for the numerical solution of the Benjamin-Bona-Mahony-Burgers equation
Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
Spectral Methods and Their Applications
Large-time behavior of solution for generalized Benjamin–Bona–Mahony–Burgers equations
Finite difference discretization of the Benjamin‐Bona‐Mahony‐Burgers equation
Model equations for long waves in nonlinear dispersive systems
Meshless formulation to two‐dimensional nonlinear problem of generalized Benjamin–Bona–Mahony–Burgers through singular boundary method: Analysis of stability and convergence
The numerical analysis of two linearized difference schemes for the <scp>Benjamin–Bona–Mahony–Burgers</scp> equation

This page was built for publication: Spectral method for one dimensional Benjamin-Bona-Mahony-Burgers equation using the transformed generalized Jacobi polynomial