Results 11 to 20 of about 83,635 (342)

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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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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A fractional spline collocation method for the fractional order logistic equation [PDF]

, 2017
We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation.
Pezza, L., Pitolli, F.
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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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A multiscale collocation method for fractional differential problems [PDF]

, 2018
We introduce a multiscale collocation method to numerically solve differential problems involving both ordinary and fractional derivatives of high order.
Pezza, L., Pitolli, F.
core   +1 more source

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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Studies on the Method of Orthogonal Collocation IV. Laguerre and Hermite Orthogonal Collocation Method

Journal of King Saud University: Engineering Sciences, 2000
Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of
M.A. Soliman
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Applicability of spline collocation to cordial volterra equations

Mathematical Modelling and Analysis, 2013
We study the applicability of the standard spline collocation method, on a uniform grid, to linear Volterra integral equations of the second kind with the so-called cordial operators; these operators are noncompact and the applicability of the ...
Teresa Diogo, Gennadi Vainikko
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