Results 1 to 10 of about 2,287 (161)

Bernstein collocation technique for a class of Sturm-Liouville problems [PDF]

open access: yesHeliyon
Sturm-Liouville problems have yielded the biggest achievement in the spectral theory of ordinary differential operators. Sturm-Liouville boundary value issues appear in many key applications in natural sciences. All the eigenvalues for the standard Sturm-
Humaira Farzana   +2 more
doaj   +4 more sources

Utilization of Haar wavelet collocation technique for fractal-fractional order problem. [PDF]

open access: yesHeliyon, 2023
This work is devoted for establishing adequate results for the qualitative theory as well as approximate solution of "fractal-fractional order differential equations" (F-FDEs). For the required numerical results, we use Haar wavelet collocation (H-W-C) method which has very rarely utilized for F-FDEs.
Shah K, Amin R, Abdeljawad T.
europepmc   +4 more sources

Fully Legendre spectral collocation technique for stochastic heat equations

open access: yesOpen Physics, 2021
For the stochastic heat equation (SHE), a very accurate spectral method is considered. To solve the SHE, we suggest using a shifted Legendre Gauss–Lobatto collocation approach in combination with a shifted Legendre Gauss–Radau collocation technique.
Abdelkawy Mohamed A.   +3 more
doaj   +2 more sources

A novel shifted Vieta–Lucas spectral collocation approach for multidimensional generalized Benjamin–Bona–Mahony–Burgers equations [PDF]

open access: yesScientific Reports
Here, we put forward a numerical method for solving the (1+1)- and (2+1)-dimensional nonlinear generalized Benjamin–Bona–Mahony–Burgers (GBBMB) equation using a collocation approach based on shifted Vieta–Lucas polynomials (SVLPs). The proposed technique
Ramy M. Hafez   +4 more
doaj   +2 more sources

A novel collocation technique for parabolic partial differential equations

open access: yesAin Shams Engineering Journal, 2022
The present study focuses on an accurate, convergent, stable and efficient method for solving the parabolic Fisher’s type equation with three different cases. The method makes use of the modified quintic trigonometric B-spline collocation technique over the Crank-Nicolson scheme for spatial discretization while the time derivative is discretized by the
M J Huntul   +2 more
exaly   +3 more sources

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   +3 more sources

New trigonometric B-spline approximation for numerical investigation of the regularized long-wave equation

open access: yesOpen Physics, 2021
The objective of this work is to propose a collocation technique based on new cubic trigonometric B-spline (NCTB-spline) functions to approximate the regularized long-wave (RLW) equation. This equation is used for modelling numerous problems occurring in
Msmali Ahmed Hussein   +3 more
doaj   +1 more source

The Effect of Using Input Enhancement Technique on Collocation ‎Learning of Iraqi EFL Students

open access: yesالأستاذ, 2022
Collocation can be defined as two or sometimes more than two words that often go together for example, impose punishment, do homework, and save money.
م.د نغم جعفر مجيد
doaj   +1 more source

Spectral solutions for diffusion equations of Riesz distributed-order space-fractional

open access: yesAlexandria Engineering Journal, 2022
A highly accurate collocation technique for diffusion equations of Riesz distributed-order space-fractional is consider. A mixed Gauss-Lobatto and Gauss-Radau Legendre collocation technique is introduced to solve the diffusion equations of Riesz ...
Mohamed A. Abdelkawy   +1 more
doaj   +1 more source

Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach

open access: yesComplexity, 2021
In this work, the Haar collocation scheme is used for the solution of the class of system of delay integral equations for heterogeneous data communication. The Haar functions are considered for the approximation of unknown function.
Hualing Wu   +4 more
doaj   +1 more source

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