Results 71 to 80 of about 3,942 (181)

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

Axioms, 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

Legendre Wavelet Operational Matrix Method for Solution of Riccati Differential Equation [PDF]

International Journal of Mathematics and Mathematical Sciences, 2014
A Legendre wavelet operational matrix method (LWM) is presented for the solution of nonlinear fractional-order Riccati differential equations, having variety of applications in quantum chemistry and quantum mechanics. The fractional-order Riccati differential equations converted into a system of algebraic equations using Legendre wavelet operational ...
openaire   +3 more sources

Two Schemes Based on the Collocation Method Using Müntz–Legendre Wavelets for Solving the Fractional Bratu Equation

Axioms
Our goal in this work is to solve the fractional Bratu equation, where the fractional derivative is of the Caputo type. As we know, the nonlinearity and derivative of the fractional type are two challenging subjects in solving various equations.
Haifa Bin Jebreen, Beatriz Hernández-Jiménez   +1 more
doaj   +1 more source

Convergence analysis of the Legendre wavelets method for a class of Fredholm-Volterra integro-differential equations of fractional-order

Miskolc Mathematical Notes
In this paper, we develop a Legendre wavelets method for the numerical solution of Fredholm-Volterra integro-differential equations of fractional order. The Caputo sense is used to explain the fractional derivative operator.
Marziyeh Felahat
doaj   +1 more source

Constructing Multiwavelet-based Shearlets and using Them for Automatic Segmentation of Noisy Brain Images Affected by COVID-19. [PDF]

J Med Signals Sens, 2023
Aghazadeh N, Moradi P, Noras P.
europepmc   +1 more source

Comparative Analysis of Wavelet Bases for Solving First-Kind Fredholm Integral Equations

Computation
This research presents a comparative analysis of numerical methods for solving first-kind Fredholm integral equations using the Bubnov–Galerkin method with various wavelet and orthogonal polynomial bases.
Nurlan Temirbekov, Dinara Tamabay, Aigerim Tleulesova, Tomiris Mukhanova   +3 more
doaj   +1 more source

Improving the Efficiency of Variationally Enhanced Sampling with Wavelet-Based Bias Potentials. [PDF]

J Chem Theory Comput, 2022
Pampel B, Valsson O.
europepmc   +1 more source

Parametric PDEs: Sparse or Low-Rank Approximations?

, 2016
We consider adaptive approximations of the parameter-to-solution map for elliptic operator equations depending on a large or infinite number of parameters, comparing approximation strategies of different degrees of nonlinearity: sparse polynomial ...
Bachmayr, Markus, Cohen, Albert, Dahmen, Wolfgang   +2 more
core  

A fast Fibonacci wavelet-based numerical algorithm for the solution of HIV-infected CD4+T cells model. [PDF]

Eur Phys J Plus, 2023
Vivek, Kumar M, Mishra SN.
europepmc   +1 more source

Solving a class of distributed-order time fractional wave-diffusion differential equations using the generalized fractional-order Bernoulli wavelets

Partial Differential Equations in Applied Mathematics
In this research, we propose a new numerical method for solving a class of distributed-order fractional partial differential equations, specifically focusing on distributed-order time fractional wave-diffusion equations.
Ali AbuGneam, Somayeh Nemati, Afshin Babaei   +2 more
doaj   +1 more source