Solving the Lane–Emden Equation within a Reproducing Kernel Method and Group Preserving Scheme
نویسندگان
چکیده
منابع مشابه
Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation
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.
متن کاملA New Approach for Solving Volterra Integral Equations Using The Reproducing Kernel Method
This paper is concerned with a technique for solving Volterra integral equations in the reproducing kernel Hilbert space. In contrast with the conventional reproducing kernel method, the Gram-Schmidt process is omitted here and satisfactory results are obtained.The analytical solution is represented in the form of series.An iterative method is given to obtain the approximate solution.The conver...
متن کاملA new technique for solving Fredholm integro-differential equations using the reproducing kernel method
This paper is concerned with a technique for solving Fredholm integro-dierentialequations in the reproducing kernel Hilbert space. In contrast with the conventionalreproducing kernel method, the Gram-Schmidt process is omitted hereand satisfactory results are obtained. The analytical solution is represented inthe form of series. An iterative method is given to obtain the approximate solution.Th...
متن کاملA Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method
and Applied Analysis 3 Similarly, we define the space W 2 2 [0, T] = { { { { { { { V (t) | V (t) , V (t) are absolutely continuous in [0, T] , V (t) ∈ L 2 [0, T] , t ∈ [0, T] , V (0) = 0 } } }
متن کاملThe combined reproducing kernel method and Taylor series for solving nonlinear Volterra-Fredholm integro-differential equations
In this letter, the numerical scheme of nonlinear Volterra-Fredholm integro-differential equations is proposed in a reproducing kernel Hilbert space (RKHS). The method is constructed based on the reproducing kernel properties in which the initial condition of the problem is satised. The nonlinear terms are replaced by its Taylor series. In this technique, the nonlinear Volterra-Fredholm integro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics
سال: 2017
ISSN: 2227-7390
DOI: 10.3390/math5040077