Add to ORKGIn this paper, we will manipulate the cubic spline to develop a collocation method (CSCM) and the generalized Newton method for solving the nonlinear Troesch problem. This method converges quadratically if a relation-ship between the physical parameter and the discretization parameter is satisfied. An error estimate between the exact solution and the discret solution is provided. To validate the theoretical results, Numerical results are presented and compared with other collocation methods given in the literature. Keywords: Troesch problem, Boundary value problems, Cubic spline collocation method
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AbstractThis paper introduces radial basis functions (RBF) into the collocation methods and the comb...
AbstractA numerical method is developed to solve the nonlinear one-dimensional Klein–Gordon equation...
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A cubic B-spline collocation approach is described and presented for the numerical solution of an ex...
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We consider a collocation method for the approximation of the solution of the nonlinear two-point bo...
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This paper provides an overview of the formulation, analysis and implementation of Spline collocatio...
Engineers are researching solutions to resolve many of today\u27s technical challenges. Numerical te...
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In this paper, the cubic B-spline collocation scheme is implemented to find numerical solution of di...
AbstractThis paper introduces radial basis functions (RBF) into the collocation methods and the comb...
AbstractA numerical method is developed to solve the nonlinear one-dimensional Klein–Gordon equation...
This paper, we develop a numerical method for solving a Bratu-type equations by using the cubic spli...
In this research article, the non-linear shooting method is modified (MNLSM) and is considered to si...
Two collocation-based methods utilizing the novel Bessel polynomials (with positive coefficients) ar...
This paper is concerned with collocation approach using cubic B-spline to solve coupled system of bo...
A cubic B-spline collocation approach is described and presented for the numerical solution of an ex...
AbstractA finite element approach, based on the cubic B-spline collocation, is presented for the num...
We consider a collocation method for the approximation of the solution of the nonlinear two-point bo...
In this paper, a collocation method is applied for solving the Kawahara and modified Kawahara equati...
AbstractA numerical method based on B-spline is developed to solve the general nonlinear two-point b...
This paper provides an overview of the formulation, analysis and implementation of Spline collocatio...
Engineers are researching solutions to resolve many of today\u27s technical challenges. Numerical te...
AbstractWe use uniform cubic polynomial splines to develop some consistency relations which are then...
In this paper, the cubic B-spline collocation scheme is implemented to find numerical solution of di...
AbstractThis paper introduces radial basis functions (RBF) into the collocation methods and the comb...
AbstractA numerical method is developed to solve the nonlinear one-dimensional Klein–Gordon equation...