Add to ORKGA numerical method based on radial basis functions (RBFs) is pro-posed for the numerical solution of nonlinear sine-Gordon equation. The numerical method is based on scattered data interpolation along with basis functions known as radial basis functions (RBFs). The spatial derivatives are approximated by the derivatives of interpolation and a low order scheme is used to approximate temporal derivative. The scheme is tested for single soliton, collision of breathers and soliton doublets. The results obtained from the method are compared with the exact solutions and the earlier work
Abstract A numerical solution for Sine-Gordon type system was done by the use of two finite differ...
In this paper, a new scheme, which has energy-preserving property, is proposed for solving the sine-...
AbstractThis paper formulates a simple classical radial basis functions (RBFs) collocation (Kansa) m...
In this paper, a meshless method of lines (MOL) is applied for the numerical solution of nonlinear s...
This paper presents the local radial basis function based on finite difference (LRBF-FD) for the sin...
Accuracy of radial basis functions (RBFs) is increased as the shape parameter decreases and produces...
A meshless method based on the singular boundary method is developed for the numerical solution of t...
In this paper, we develop the numerical solution of nonlinear Klein-Gordon equation (NKGE) using the...
This paper develops a local Kriging meshless solution to the nonlinear 2 + 1-dimensional sine-Gordon...
This thesis investigates the nonlinear partial differential equation known as sine-Gordon and its sp...
Nonlinear partial differential equations are often used to understand and modelnonlinear processes a...
This paper gives an order of convergence in applying the radial basis functions (RBF) as a meshless ...
AbstractDuring the past few years, the idea of using meshless methods for numerical solution of part...
Solving partial differential equations (PDEs) can require numerical methods, especially for non-line...
A meshless collocation method based on radial basis functions is proposed for solving the steady inc...
Abstract A numerical solution for Sine-Gordon type system was done by the use of two finite differ...
In this paper, a new scheme, which has energy-preserving property, is proposed for solving the sine-...
AbstractThis paper formulates a simple classical radial basis functions (RBFs) collocation (Kansa) m...
In this paper, a meshless method of lines (MOL) is applied for the numerical solution of nonlinear s...
This paper presents the local radial basis function based on finite difference (LRBF-FD) for the sin...
Accuracy of radial basis functions (RBFs) is increased as the shape parameter decreases and produces...
A meshless method based on the singular boundary method is developed for the numerical solution of t...
In this paper, we develop the numerical solution of nonlinear Klein-Gordon equation (NKGE) using the...
This paper develops a local Kriging meshless solution to the nonlinear 2 + 1-dimensional sine-Gordon...
This thesis investigates the nonlinear partial differential equation known as sine-Gordon and its sp...
Nonlinear partial differential equations are often used to understand and modelnonlinear processes a...
This paper gives an order of convergence in applying the radial basis functions (RBF) as a meshless ...
AbstractDuring the past few years, the idea of using meshless methods for numerical solution of part...
Solving partial differential equations (PDEs) can require numerical methods, especially for non-line...
A meshless collocation method based on radial basis functions is proposed for solving the steady inc...
Abstract A numerical solution for Sine-Gordon type system was done by the use of two finite differ...
In this paper, a new scheme, which has energy-preserving property, is proposed for solving the sine-...
AbstractThis paper formulates a simple classical radial basis functions (RBFs) collocation (Kansa) m...