Results 31 to 40 of about 5,668 (170)

A local meshless method for the one-dimensional Fisher’s equation

open access: yesFrontiers in Physics
This study presents a novel local meshless approach for solving one-dimensional Fisher’s equation, combining a local scheme, Gaussian radial basis functions (G-RBF), and a collocation technique. The method leverages the Gaussian basis’s nonlinear fitting
Jianjun Cao   +3 more
doaj   +1 more source

Solving weakly singular integral equations utilizing the meshless local discrete collocation technique

open access: yesAlexandria Engineering Journal, 2018
The current work presents a computational scheme to solve weakly singular integral equations of the second kind. The discrete collocation method in addition to the moving least squares (MLS) technique established on scattered points is utilized to ...
Pouria Assari
doaj   +1 more source

A Collocation Method for Mixed Volterra–Fredholm Integral Equations of the Hammerstein Type

open access: yesMathematics, 2022
This paper presents a collocation method for the approximate solution of two-dimensional mixed Volterra–Fredholm integral equations of the Hammerstein type.
Sanda Micula
doaj   +1 more source

A numerical method for solving systems of higher order linear functional differential equations

open access: yesOpen Physics, 2016
Functional differential equations have importance in many areas of science such as mathematical physics. These systems are difficult to solve analytically.In this paper we consider the systems of linear functional differential equations [1-9] including ...
Yüzbasi Suayip   +2 more
doaj   +1 more source

Zastosowanie Metody Kollokacji do Obliczenia Sprężysto-Plastycznych Ugięć Belek o Skrepowanej Przesuwności Podpór

open access: yesEngineering Transactions, 1965
The used collocation method consists in assuming the form of the deflected beam i.g. in assuming the distribution function of the slope ϕ =Aϕ. In addition to the constant A the collocation function has three free parameters which can to be determined ...
Z. Waszczyszyn
doaj  

Computational methods and dynamical analysis for studying ( 1 + 1 ) $(1 + 1)$ dimensional functional equations of mixed integro-differential type

open access: yesBoundary Value Problems
In the present paper, the Fibonacci collocation method is implemented to solve ( 1 + 1 ) $(1 + 1)$ dimensional difference equations of mixed integro-differential type.
Amr M. S. Mahdy   +2 more
doaj   +1 more source

‎Multistep collocation method for nonlinear delay integral equations [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2016
‎The main purpose of this paper is to study the numerical solution of nonlinear Volterra integral equations with constant delays, based on the multistep collocation method.
Parviz Darania
doaj  

An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations

open access: yesJournal of Applied Mathematics, 2014
The block hybrid collocation method with two off-step points is proposed for the direct solution of general third order ordinary differential equations.
Lee Ken Yap   +2 more
doaj   +1 more source

A New Efficient Method for the Numerical Solution of Linear Time-Dependent Partial Differential Equations

open access: yesAxioms, 2018
This paper presents a new efficient method for the numerical solution of a linear time-dependent partial differential equation. The proposed technique includes the collocation method with Legendre wavelets for spatial discretization and the three-step ...
Mina Torabi, Mohammad-Mehdi Hosseini
doaj   +1 more source

Approximate Solutions of Nonlinear Boundary Value Problems by Collocation Methods Compared to Newer Methods

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
A large variety of new methods are being developed for fast and efficient solutions of nonlinear boundary value problems. Some of these methods are, Adomian decomposition (ADM), differential transform (DTM), least squares vector machines (LSSVMM), and ...
Hasan Ömür Özer   +3 more
doaj   +1 more source

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