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A Trigonometric Quintic B|Spline Basis Collocation Method for the ...


A Trigonometric Quintic B-Spline Basis Collocation Method for the ...

The collocation method is then applied to the coupled equation together with the forward difference and the Crank–Nicholson formula. This ...

A Trigonometric Quintic B-Spline Basis Collocation Method for the ...

Abstract This paper considers an effective numerical collocation method for numerical solution of the KdV–Kawahara equation. This numerical method relies on ...

A Trigonometric Quintic B-Spline Basis Collocation Method for the ...

Quintic spline collocation method for fractional boundary value problems ... The spline collocation method is a competent and highly effective mathematical tool ...

Trigonometric quintic B-spline collocation method for singularly ...

A trigonometric quintic B-spline method is proposed for the solution of a class of turning point singularly perturbed boundary value problems (SP-BVPs)

B. Karaagac, A. Esen, K. M. Owolabi, E. Pindza, “A ... - Math-Net.Ru

Key words: KdV-Kawahara equation, collocation method, quintic trigonometric B-spline basis, stability. Received: 04.11.2022. Revised: 02.03.2023. Accepted: ...

(PDF) Trigonometric quintic B -spline collocation method for ...

To resolve the boundary/interior layer(s) trigonometric quintic B-spline basis functions are used with a piecewise-uniform mesh generated ...

Trigonometric quintic B-spline collocation method for singularly ...

A trigonometric quintic B-spline method is proposed for the solution of a class of turning point singularly perturbed boundary value problems (SP-BVPs) ...

An Application of Trigonometric Quintic B-Spline Collocation Method ...

In order to obtain better and more effective numerical results, trigonometric quintic basis functions will be used. The model problem discussed ...

Quintic B-spline collocation method for numerical solution of the ...

In this paper, the quintic B-spline collocation scheme is implemented to find numerical solution of the Kuramoto–Sivashinsky equation.

Quintic B-spline collocation approach for solving generalized Black ...

Abstract. We develop a numerical algorithm for solving generalized Black–Scholes partial differential equation, which arises in European option pricing. The ...

Numerical investigation of nonlinear extended Fisher-Kolmogorov ...

In this article, a collocation technique based on quintic trigonometric B-spline (QTB-spline) functions was presented for homogeneous as well as the ...

Trigonometric quintic B-spline collocation method for singularly ...

a subdomain Galerkin method based on cubic B-spline basis functions, with a geometrically graded mesh for the solution of SPPs of type (1) ...

(PDF) Quintic B-spline Collocation Method for Numerical Solutions ...

These polynomials are supposed to generate a smooth curve by connecting at given data points. In this work, an application of fifth degree basis spline ...

Redefined Quintic B‐Spline Collocation Method to Solve the Time ...

This article proposes a collocation approach based on a redefined quintic B-spline basis for solving the time-fractional Whitham-Broer-Kaup equations.

Numerical Solutions of Reaction-Diffusion Equation Systems with ...

The algorithm produces accurate results even when the time increment is larger. Therefore, the proposed Trigonometric Quintic B-spline Collocation method is ...

‪Dursun IRK‬ - ‪Google Scholar‬

Taylor collocation method for the numerical solution of the nonlinear Schrödinger equation using quintic B-spline basis. AM Aksoy, D Irk, I Dag. Physics of Wave ...

Galerkin Finite Element Method and Collocation Method Using ...

And four types of approximate solutions spanned by cubic B-spline basis functions satisfying given boundary condition were introduced. Collocation point is ...

NUMERICAL SOLUTIONS OF REACTION-DIFFUSION EQUATION ...

The fully integration of the generalized system is carried out using the collocation method based on the trigonometric quintic B-splines. The ...

A collocation method based on cubic trigonometric B-splines for the ...

Fractional differential equations sufficiently depict the nature in view of the symmetry properties, which portray physical and biological ...

An Application of Trigonometric Quintic B-Spline Collocation Method ...

The given equation is decomposed into a system of equations and modified cubic B-spline basis functions have been used for spatial variable and its derivatives, ...