1
Department mathematics payame noor university of tehran,Iran
2
Department of Mathematics, University of Tehran, Iran.
Abstract
In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved.
Karimian, M., Karimian, A. (2018). Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation. International Journal of Mathematical Modelling & Computations, 8(3 (SUMMER)), 199-206.
MLA
M. Karimian; A. Karimian. "Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation". International Journal of Mathematical Modelling & Computations, 8, 3 (SUMMER), 2018, 199-206.
HARVARD
Karimian, M., Karimian, A. (2018). 'Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation', International Journal of Mathematical Modelling & Computations, 8(3 (SUMMER)), pp. 199-206.
VANCOUVER
Karimian, M., Karimian, A. Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation. International Journal of Mathematical Modelling & Computations, 2018; 8(3 (SUMMER)): 199-206.
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