Results 11 to 20 of about 117 (97)

The effects of maternal flow on placental diffusion-weighted MRI and intravoxel incoherent motion parameters. [PDF]

Magn Reson Med
Abstract Purpose To investigate and explain observed features of the placental DWI signal in healthy and compromised pregnancies using a mathematical model of maternal blood flow. Methods Thirteen healthy and nine compromised third trimester pregnancies underwent pulse gradient spin echo DWI MRI, with the results compared to MRI data simulated from a ...
Hutchinson GJ, Blakey A, Jones N, Leach L, Dellschaft N, Houston P, Hubbard M, O'Dea R, Gowland PA.   +8 more
europepmc   +2 more sources

Fibonacci Wavelet Method for the Numerical Solution of Nonlinear Reaction‐Diffusion Equations of Fisher‐Type

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This article aims to propose an efficient Fibonacci wavelet‐based collocation method for solving the nonlinear reaction‐diffusion equation of Fisher‐type. The underlying numerical scheme starts by formulating operational matrices of integration corresponding to the Fibonacci wavelets.
Naied A. Nayied, Firdous A. Shah, M. A. Khanday, Mubashir Qayyum   +3 more
wiley   +1 more source

Spectral Element Method for Fractional Klein–Gordon Equations Using Interpolating Scaling Functions

Advances in Mathematical Physics, Volume 2023, Issue 1, 2023., 2023
The focus of this paper is on utilizing the spectral element method to find the numerical solution of the fractional Klein–Gordon equation. The algorithm employs interpolating scaling functions (ISFs) that meet specific properties and satisfy the multiresolution analysis.
Haifa Bin Jebreen, S. A. Edalatpanah
wiley   +1 more source

An Effective Local Radial Basis Function Method for Solving the Delay Volterra Integral Equation of Nonvanishing and Vanishing Types

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
This paper presents a numerical method for solving a class of the delay Volterra integral equation of nonvanishing and vanishing types by applying the local radial basis function method. This method converts these types of integral equations into an easily solvable system of algebraic equations.
Neda Khaksari, Mahmoud Paripour, Nasrin Karamikabir, Xian-Ming Gu   +3 more
wiley   +1 more source

A Numerical Approach for the Analytical Solution of the Fourth‐Order Parabolic Partial Differential Equations

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this study, we propose a new iterative scheme (NIS) to investigate the approximate solution of the fourth‐order parabolic partial differential equations (PDEs) that arises in transverse vibration problems. We introduce the Mohand transform as a new operator that is very easy to implement coupled with the homotopy perturbation method.
Fenglian Liu, Muhammad Nadeem, Ibrahim Mahariq, Suliman Dawood, Yusuf Gurefe   +4 more
wiley   +1 more source

Sinc-Galerkin method for solving the time fractional convection–diffusion equation with variable coefficients

Advances in Difference Equations, 2020
In this paper, a new numerical algorithm for solving the time fractional convection–diffusion equation with variable coefficients is proposed. The time fractional derivative is estimated using the L 1 $L_{1}$ formula, and the spatial derivative is ...
Li Juan Chen, MingZhu Li, Qiang Xu
doaj   +1 more source

An Efficient Parallel Laplace Transform Spectral Element Method for the Two‐Dimensional Schrödinger Equation

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, a parallel Laplace transform spectral element method for the linear Schrödinger equation and the cubic nonlinear Schrödinger equation is introduced. The main advantage of this new scheme is that it has the high accuracy of spectral methods and the parallel efficiency of the Laplace transform method. The key idea is twofold.
Wenting Shao, Luigi Rodino
wiley   +1 more source

Daubechies Wavelet Scaling Function Approach to Solve Volterra’s Population Model

International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022
In this paper, we focus on a collocation approach based on Daubechies wavelet scaling functions for approximating the solution of Volterra’s model of population growth of a species with a closed system. We present that the integral and derivative terms, which appear in Volterra’s model of the population, will be computed exactly in dyadic points ...
Amjad Alipanah, Korosh Arzideh, Medina Firouzi, A. Kasnazani, Marianna A. Shubov   +4 more
wiley   +1 more source

Collocation Approach Based on an Extended Cubic B‐Spline for a Second‐Order Volterra Partial Integrodifferential Equation

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
This paper focuses on an efficient spline‐based numerical technique for numerically addressing a second‐order Volterra partial integrodifferential equation. The time derivative is discretized using a finite difference scheme, while the space derivative is approximated using the extended cubic B‐spline basis.
Reny George, Muhammad Yaseen, Sana Khan, Youssri Hassan Youssri   +3 more
wiley   +1 more source

Two Numerical Methods for Solving the Schrödinger Parabolic and Pseudoparabolic Partial Differential Equations

Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022
In this work, the initial‐boundary value problems for one‐dimensional linear time‐dependent Schrödinger parabolic and pseudoparabolic partial differential equations are studied. The modified double Laplace decomposition method is applied to get the semianalytic solutions and the explicit finite difference method to get the approximate solutions of the ...
Mahmut Modanli, Bushra Bajjah, Sevgi Kuşulay, Zine El Abiddine Fellah   +3 more
wiley   +1 more source