Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation

الموضوعات : فصلنامه ریاضی

M. Karimian ¹ , A. Karimian ²

1 - Department mathematics payame noor university of tehran,Iran
2 - Department of Mathematics, University of Tehran, Iran.

تاريخ الإرسال : 24 الجمعة , رمضان, 1439 تاريخ التأكيد : 03 الإثنين , ربيع الثاني, 1440 تاريخ الإصدار : 19 الأربعاء , ذو القعدة, 1439

الکلمات المفتاحية: Partial Differential Equation, Reproducing Kernel Space, Generalized Burgers Equation, Norm Space,

ملخص المقالة :

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.