Results 41 to 50 of about 2,299 (162)

Solution of the boundary layer flow of an Eyring-Powell non-Newtonian fluid over a linear stretching sheet by collocation method

Alexandria Engineering Journal, 2017
The aim of this article was to apply collocation method for boundary layer flow of an Eyring-Powell fluid over a stretching sheet in unbounded domain. The collocation method combined with a special technique, has been successfully applied for nonlinear ...
J. Rahimi, D.D. Ganji, M. Khaki, Kh. Hosseinzadeh   +3 more
doaj   +1 more source

Efficient numerical technique for solution of delay Volterra-Fredholm integral equations using Haar wavelet

Heliyon, 2020
In this article, a computational Haar wavelet collocation technique is developed for the solution of linear delay integral equations. These equations include delay Fredholm, Volterra and Volterra-Fredholm integral equations.
Rohul Amin, Kamal Shah, Muhammad Asif, Imran Khan   +3 more
doaj   +1 more source

An integral‐collocation‐based fictitious‐domain technique for solving elliptic problems [PDF]

Communications in Numerical Methods in Engineering, 2007
AbstractThis paper presents a new fictitious‐domain technique for numerically solving elliptic second‐order partial differential equations (PDEs) in complex geometries. The proposed technique is based on the use of integral‐collocation schemes and Chebyshev polynomials.
Mai-Duy, Nam, See, Howard, Tran-Cong, Thanh   +2 more
openaire   +2 more sources

Using collocation with radial basis functions in a pseudospectral framework to the analysis of laminated plates by the Reissner’s mixed variational theorem

Curved and Layered Structures
In order to predict the static deformations and free vibration behaviour of thin and thick cross-ply laminated plates, we integrate Carrera’s unified formulation with a radial basis function collocation technique on a pseudospectral framework, using ...
Fernandes Susana Cristina Ferreira, Cuartero Jesus, Ferreira António Joaquim Mendes   +2 more
doaj   +1 more source

Numerical approximation of space-fractional diffusion equation using Laguerre spectral collocation method

International Journal of Mathematics for Industry
The space-fractional diffusion equation is extensively used to model various issues in engineering and mathematics. This paper addresses the numerical approximation of the space-fractional-order diffusion equation, using a fractional operator in the ...
Minilik Ayalew, Mekash Ayalew, Mulualem Aychluh   +2 more
doaj   +1 more source

Spectral analysis and preconditioning techniques for radial basis function collocation matrices [PDF]

Numerical Linear Algebra with Applications, 2011
SUMMARYMeshless collocation methods based on radial basis functions lead to structured linear systems, which, for equispaced grid points, have almost a multilevel Toeplitz structure. In particular, if we consider partial differential equations (PDEs) in two dimensions, then we find almost (up to a ‘low‐rank’ correction given by the boundary conditions)
Roberto Cavoretto, Alessandra De Rossi, Marco Donatelli, Stefano Serra-Capizzano   +3 more
openaire   +3 more sources

A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations

Advances in Mathematical Physics, 2014
The shifted Jacobi-Gauss collocation (SJGC) scheme is proposed and implemented to solve the fractional neutral functional-differential equations with proportional delays.
A. H. Bhrawy, M. A. Alghamdi
doaj   +1 more source

Numerical Implementation of Meshless Methods for Beam Problems

Archives of Civil Engineering, 2012
For solving a partial different equation by a numerical method, a possible alternative may be either to use a mesh method or a meshless method. A flexible computational procedure for solving 1D linear elastic beam problems is presented that currently ...
Rosca V. E., Leitāo V. M. A.
doaj   +1 more source

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

Frontiers 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, Bailing An, Enran Hou, Fuzhang Wang   +3 more
doaj   +1 more source

Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form

Journal of Applied Mathematics, 2014
A collocation method based on the Bernstein polynomials defined on the interval [a,b] is developed for approximate solutions of the Fredholm-Volterra integrodifferential equation (FVIDE) in the most general form.
Ayşegül Akyüz-Daşcıoğlu, Neşe İşler Acar, Coşkun Güler   +2 more
doaj   +1 more source