Abstract:We investigate an efficient extension of the operational Tau method for solving the delayed Burgers equation(DBE) arising in physical problems. This extension gives a useful numerical algorithm for the DBE including linear and nonlinear terms. The orthogonality of the Laguerre polynomials as the basis function is the main characteristic behind the method to decrease the volume of computations and runtime of the method. Numerical results are also presented for some experiments to demonstrate the usefulness and accuracy of the proposed algorithm.
. [J]. 中国物理快报, 2013, 30(2): 20201-020201.
F. Khaksar Haghani, S. Karimi Vanani, J. Sedighi Hafshejani. Numerical Computation of the Tau Approximation for the Delayed Burgers Equation. Chin. Phys. Lett., 2013, 30(2): 20201-020201.