Results 31 to 40 of about 2,254,947 (237)

Determination of an Extremal in Two-Dimensional Variational Problems Based on the RBF Collocation Method

open access: yesEntropy, 2022
This paper introduces a direct method derived from the global radial basis function (RBF) interpolation over arbitrary collocation nodes occurring in variational problems involving functionals that depend on functions of a number of independent variables.
Ahmad Golbabai   +2 more
doaj   +1 more source

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

Collocation schemes for periodic solutions of neutral delay differential equations [PDF]

open access: yes, 2005
We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential
Wilson, RE   +8 more
core   +1 more source

A numerical approach to solve hyperbolic telegraph equations via Pell–Lucas polynomials

open access: yesJournal of Taibah University for Science, 2023
In this article, a collocation approximation is investigated for approximate solutions of hyperbolic telegraph partial differential equations (HTPDEs). The method is based on evenly spaced collocation points and Pell–Lucas polynomials (PLPs). The form of
Şuayip Yüzbaşı, Gamze Yıldırım
doaj   +1 more source

Inverse Multiquadratic Functions as the Basis for the Rectangular Collocation Method to Solve the Vibrational Schrödinger Equation

open access: yesMathematics, 2018
We explore the use of inverse multiquadratic (IMQ) functions as basis functions when solving the vibrational Schrödinger equation with the rectangular collocation method. The quality of the vibrational spectrum of formaldehyde (in six dimensions) is
Aditya Kamath, Sergei Manzhos
doaj   +1 more source

Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method

open access: yesمجلة بغداد للعلوم, 2020
Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is ...
Nahdh S. M. Al-Saif, Ameen Sh. Ameen
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

Solving the Lane–Emden equation by using Bernstein operational matrix

open access: yesAlexandria Engineering Journal
Lane–Emden equations model a wide range of problems in physics and astrophysics, with applications including stellar structure, radiative cooling, and the modeling of galaxy clusters.
Nurul Izzatie Najwa Kamarul Bahrim   +1 more
doaj   +1 more source

Efficient Numerical Scheme for the Solution of Tenth Order Boundary Value Problems by the Haar Wavelet Method

open access: yesMathematics, 2020
In this paper, an accurate and fast algorithm is developed for the solution of tenth order boundary value problems. The Haar wavelet collocation method is applied to both linear and nonlinear boundary value problems.
Rohul Amin   +5 more
doaj   +1 more source

Microscale Patterning of Ultrahigh‐Viscosity Metallic‐Polymer Composites via Embedded Droplet Writing

open access: yesAdvanced Functional Materials, EarlyView.
A hybrid additive manufacturing platform integrates direct droplet writing of metallic composite with VAT photopolymerization to fabricate architected soft magnetic composites. This approach enables microscale patterning of high‐viscosity materials for programmable actuators, adaptive fluidic devices, and switchable adhesives, offering tunable ...
Yeowon Yoon   +4 more
wiley   +1 more source

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