Results 11 to 20 of about 16,775 (210)

Superconvergence of spectral collocation method for initial value problem of ordinary differential equations

上海师范大学学报. 自然科学版, 2021
In this paper, we study the spectral collocation method for the initial value problems of ordinary differential equations. Based on Legendre-Gauss points, we propose the spectral collocation method for the initial value problems of first-order and second-
QIAN Yiyun, ZHA Yuanyuan, CAI Kangwen, LIU Yanqin, WANG Xinyi, YI Lijun   +5 more
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Spectral collocation method for convection-diffusion equation

Demonstratio Mathematica
Spectral collocation method, named linear barycentric rational interpolation collocation method (LBRICM), for convection-diffusion (C-D) equation with constant coefficient is considered.
Li Jin, Cheng Yongling
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Numerical Solution Of The Heat Equation By Cubic B-Spline Collocation Method [PDF]

, 2023
This work proposes a numerical scheme for heat parabolic problem by implementing a collocation method with a cubic B-spline for a uniform mesh. The key idea of this method is to apply forward finite difference and Crank–Nicolson methods for time and ...
A. Sabawi, Younis, Q. Hamad, Hoshman
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A new spline technique for the time fractional diffusion-wave equation

MethodsX, 2023
The current research article proposes an approximate solution of the fractional diffusion wave equation (FDWE) by using a new collocation method based on the cubic B-splines.
Suruchi Singh, Swarn Singh, Anu Aggarwal
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Approximate Solution of a Class of Highly Oscillatory Integral Equations Using an Exponential Fitting Collocation Method

Journal of Mathematics, 2023
This paper deals with the numerical solution of a class of highly oscillatory Volterra integral equations by collocation methods based on the exponential fitting technique.
S. Khudhair Abbas, S. Sohrabi, H. Ranjbar   +2 more
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Collocation Methods for Second Order Systems

Robotics: Science and Systems XVIII, 2022
Trabajo presentado en el Robotics: Science and Systems, celebrado en Nueva York (Estados Unidos), del 27 de junio al 1 de julio de ...
Moreno Martín, Siro, Ros Giralt, Lluís, Celaya Llover, Enric   +2 more
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A Spectral Method for Two-Dimensional Ocean Acoustic Propagation

Journal of Marine Science and Engineering, 2021
The accurate calculation of the sound field is one of the most concerning issues in hydroacoustics. The one-dimensional spectral method has been used to correctly solve simplified underwater acoustic propagation models, but it is difficult to solve ...
Xian Ma, Yongxian Wang, Xiaoqian Zhu, Wei Liu, Qiang Lan, Wenbin Xiao   +5 more
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Efficient Solution of Burgers’, Modified Burgers’ and KdV–Burgers’ Equations Using B-Spline Approximation Functions

Mathematics, 2023
This paper discusses the application of the orthogonal collocation on finite elements (OCFE) method using quadratic and cubic B-spline basis functions on partial differential equations.
Nabendra Parumasur, Rasheed A. Adetona, Pravin Singh   +2 more
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Studies on the Method of Orthogonal Collocation VI: A Moving Collocation Method for the Solution of the Transient Heat Conduction Problem

Journal of King Saud University: Engineering Sciences, 2005
A new moving collocation method is introduced for solving the problem of time-dependent heat conduction with source term in one dimension. The method is based on dividing the solution domain into active and inactive zones. The numerical results show that
M.A. Soliman, K.I. Al-Humaizi
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Numerical solution of second-order nonlinear partial differential equations originating from physical phenomena using Hermite based block methods

Results in Physics, 2023
A Hermite based block method (HBBM) is proposed for the numerical solution of second-order non-linear elliptic partial differential equations (PDEs). The development of the method was accomplished through the methodology of interpolation and collocation ...
Emmanuel Oluseye Adeyefa, Ezekiel Olaoluwa Omole, Ali Shokri   +2 more
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