TY - JOUR
ID - 663825
TI - Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation
JO - International Journal of Mathematical Modelling & Computations
JA - IJM2C
LA - en
SN - 2228-6225
AU - Karimian, M.
AU - Karimian, A.
AD - Department mathematics payame noor university of tehran,Iran
AD - Department of Mathematics, University of Tehran, Iran.
Y1 - 2018
PY - 2018
VL - 8
IS - 3 (SUMMER)
SP - 199
EP - 206
KW - Reproducing Kernel Space
KW - Generalized Burgers Equation
KW - Norm Space
KW - Partial Differential Equation
DO -
N2 - 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.
UR - http://ijm2c.iauctb.ac.ir/article_663825.html
L1 - http://ijm2c.iauctb.ac.ir/article_663825_5f143c09628fc5b1792b0614fab02b58.pdf
ER -