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[HTML][HTML] Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
In this paper, a family of local fractional two-dimensional Burgers-type equations (2DBEs) is
investigated. The local fractional Riccati differential equation method is proposed here for …
investigated. The local fractional Riccati differential equation method is proposed here for …
[HTML][HTML] Numerical solutions of time fractional Burgers' equation involving Atangana–Baleanu derivative via cubic B-spline functions
The current paper uses the cubic B-spline functions and θ-weighted scheme to achieve
numerical solutions of the time fractional Burgers' equation with Atangana–Baleanu …
numerical solutions of the time fractional Burgers' equation with Atangana–Baleanu …
[HTML][HTML] A linear finite difference scheme for generalized time fractional Burgers equation
This paper is concerned with the numerical solutions of the generalized time fractional
burgers equation. We propose a linear implicit finite difference scheme for solving the …
burgers equation. We propose a linear implicit finite difference scheme for solving the …
[HTML][HTML] An efficient numerical technique for solving time fractional Burgers equation
A finite difference scheme which depends on a new approximation based on an extended
cubic B-spline for the second order derivative is used to calculate the numerical outcomes of …
cubic B-spline for the second order derivative is used to calculate the numerical outcomes of …
[PDF][PDF] New numerical approximations for space-time fractional Burgers' equations via a Legendre spectral-collocation method
Burgers' equation is a fundamental partial differential equation in fluid mechanics. This
paper reports a new space-time spectral algorithm for obtaining an approximate solution for …
paper reports a new space-time spectral algorithm for obtaining an approximate solution for …
[HTML][HTML] Exact solutions and numerical study of time fractional Burgers' equations
In this paper, we investigate the exact and numerical solutions of the time fractional Burgers'
equation. By using Cole–Hopf transformation and the method of variables separation, the …
equation. By using Cole–Hopf transformation and the method of variables separation, the …
[HTML][HTML] Computational solution of the time-fractional Schrödinger equation by using trigonometric B-spline collocation method
This paper proposes a numerical method to obtain an approximation solution for the time-
fractional Schrödinger Equation (TFSE) based on a combination of the cubic trigonometric B …
fractional Schrödinger Equation (TFSE) based on a combination of the cubic trigonometric B …
Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers' equations numerically
This paper proposes two numerical approaches for solving the coupled nonlinear time-
fractional Burgers' equations with initial or boundary conditions on the interval 0, L 0,L. The …
fractional Burgers' equations with initial or boundary conditions on the interval 0, L 0,L. The …
Numerical approximation of inhomogeneous time fractional Burgers–Huxley equation with B-spline functions and Caputo derivative
A prototype model used to explain the relationship between mechanisms of reaction,
convection effects, and transportation of diffusion is the generalized Burgers–Huxley …
convection effects, and transportation of diffusion is the generalized Burgers–Huxley …
[PDF][PDF] Numerical solution of time fractional Burgers equation
In this article, the time fractional order Burgers equation has been solved by quadratic B-
spline Galerkin method. This method has been applied to three model problems. The …
spline Galerkin method. This method has been applied to three model problems. The …