A novel numerical scheme for solving Burgers' equation
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Min Xu | Renhong Wang | Qin Fang | Jihong Zhang | Ren-hong Wang | Min Xu | Qin Fang | Jihong Zhang
[1] A. Mohsen,et al. Some numerical experiments on the splitting of Burgers' equation , 1992 .
[2] A. R. Mitchell,et al. The Finite Difference Method in Partial Differential Equations , 1980 .
[3] Renhong Wang,et al. Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation , 2009, Appl. Math. Comput..
[4] P. Jain,et al. Numerical solutions of coupled Burgers' equation , 1978 .
[5] Paul Sablonnière,et al. Recent Progress on Univariate and Multivariate Polynomial and Spline Quasi-interpolants , 2005 .
[6] Andrew R. Mitchell,et al. Upwinding of high order Galerkin methods in conduction−convection problems , 1978 .
[7] Marc I. Gerritsma,et al. The use of Chebyshev Polynomials in the space-time least-squares spectral element method , 2005, Numerical Algorithms.
[8] Paul Sablonniere. Univariate spline quasi-interpolants and applications to numerical analysis , 2005 .
[9] Benny Y. C. Hon,et al. An efficient numerical scheme for Burgers' equation , 1998, Appl. Math. Comput..
[10] Marc I. Gerritsma,et al. Higher-Order Gauss–Lobatto Integration for Non-Linear Hyperbolic Equations , 2006, J. Sci. Comput..
[11] Turgut Özis,et al. A finite element approach for solution of Burgers' equation , 2003, Appl. Math. Comput..
[12] Han Xu-li,et al. Multi-node higher order expansions of a function , 2003 .
[13] Ahmet Boz,et al. B-spline Galerkin methods for numerical solutions of the Burgers' equation , 2005, Appl. Math. Comput..
[14] L. Gardner,et al. A collocation solution for Burgers' equation using cubic B-spline finite elements , 1992 .
[15] Paul Arminjon,et al. A finite element method for Burgers' equation in hydrodynamics , 1978 .
[16] Ronghua Chen,et al. Solving partial differential equation by using multiquadric quasi-interpolation , 2007, Appl. Math. Comput..
[17] H. Bateman,et al. SOME RECENT RESEARCHES ON THE MOTION OF FLUIDS , 1915 .
[18] József Szabados,et al. Trends and Applications in Constructive Approximation , 2006 .
[19] Ronghua Chen,et al. Applying multiquadric quasi-interpolation to solve Burgers' equation , 2006, Appl. Math. Comput..
[20] Abdulkadir Dogan,et al. A Galerkin finite element approach to Burgers' equation , 2004, Appl. Math. Comput..
[21] S. G. Rubin,et al. Higher-Order Numerical Solutions Using Cubic Splines , 1976 .
[22] Marc Gerritsma,et al. Least-squares spectral element method for non-linear hyperbolic differential equations , 2008 .
[23] P. C. Jain,et al. Cubic spline technique for coupled non-linear parabolic equations , 1979 .
[24] Idris Dag,et al. A numerical solution of the Burgers' equation using cubic B-splines , 2005, Appl. Math. Comput..
[25] J. Burgers. A mathematical model illustrating the theory of turbulence , 1948 .
[26] R. Hirsh,et al. Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique , 1975 .
[27] J. Cole. On a quasi-linear parabolic equation occurring in aerodynamics , 1951 .
[28] J. M. Burgers,et al. Mathematical Examples Illustrating Relations Occurring in the Theory of Turbulent Fluid Motion , 1995 .
[29] B. L Lohar,et al. Variable mesh cubic spline technique for N-wave solution of Burgers' equation , 1981 .
[30] S. Kutluay,et al. Numerical solution of one-dimesional Burgers equation: explicit and exact-explicit finite difference methods , 1999 .
[31] David F. Griffiths,et al. Generalized Petrov–Galerkin methods for the numerical solution of Burgers' equation , 1984 .
[32] Wilhelm Heinrichs. An adaptive spectral least-squares scheme for the Burgers equation , 2007, Numerical Algorithms.
[33] P. C. Jain,et al. Numerical technique for solving convective-reaction-diffusion equation , 1995 .
[34] M. Ciment,et al. Review. The Operator Compact Implicit Method for Parabolic Equations , 1978 .
[35] Carl de Boor. An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order , 2005, J. Approx. Theory.
[36] H. A. Hosham,et al. Fourth-order finite difference method for solving Burgers' equation , 2005, Appl. Math. Comput..