Numerical Solution of Singular IVPs of Lane-Emden Type Using Integral Operator and Radial Basis Functions

numerical solution of singular ivps of lane-emden type using integral operator and radial basis functions

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numerical solution of singular ivps of lane-emden type using integral operator and radial basis functions

Numerical Solution of Nonlinear PDEs by Using Two-Level Iterative Techniques and Radial Basis Functions

‎Radial basis function method has been used to handle linear and‎ ‎nonlinear equations‎. ‎The purpose of this paper is to introduce the method of RBF to‎ ‎an existing method in solving nonlinear two-level iterative‎ ‎techniques and also the method is implemented to four numerical‎ ‎examples‎. ‎The results reveal that the technique is very effective‎ ‎and simple. Th...

Non-radial Singular Solutions of Lane-emden Equation in R

We obtain infinitely many non-radial singular solutions of LaneEmden equation ∆u + u = 0 in RN\{0}, N ≥ 4 with N + 1 N − 3 < p < pc(N − 1) by constructing infinitely many radially symmetric regular solutions of equation on SN−1 ∆SN−1w − 2 p− 1 [ N − 2− 2 p− 1 ] w + w = 0.

Solution of Hallen’s Integral Equation by Using Radial Basis Functions

In this paper, we present a numerical method for solving Hallen’s integral equation based on radial basis functions (RBFs). This method will represent the solution of Hallen’s integral equation by interpolating the radial basis functions based on Legendre-Gauss-Lobatto(LGL) nodes and weights. The numerical results show that the proposed method for Hallen’s integral equation is very accurate and...

The method of radial basis functions for the solution of nonlinear Fredholm integral equations system.

In this paper, An effective and simple numerical method is proposed for solving systems of integral equations using radial basis functions (RBFs). We present an algorithm based on interpolation by radial basis functions including multiquadratics (MQs), using Legendre-Gauss-Lobatto nodes and weights. Also a theorem is proved for convergence of the algorithm. Some numerical examples are presented...