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.
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.
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.
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.
Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation
1Department mathematics payame noor university of tehran,Iran
2Department 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.
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