Results 41 to 50 of about 25,445 (266)

Numerical Solution Of The Heat Equation By Cubic B-Spline Collocation Method

Eurasian Journal of Science and Engineering, 2023
This work proposes a numerical scheme for heat parabolic problem by implementing a collocation method with a cubic B-spline for a uniform mesh. The key idea of this method is to apply forward finite difference and Crank–Nicolson methods for time and ...
Hoshman Q. Hamad, Younis A. Sabawi
doaj   +1 more source

Analytical Solution and Numerical Simulation of Heat Transfer in Cylindrical- and Spherical-Shaped Bodies

Computation, 2023
New analytical solutions of the heat conduction equation obtained by utilizing a self-similar Ansatz are presented in cylindrical and spherical coordinates. Then, these solutions are reproduced with high accuracy using recent explicit and unconditionally
Humam Kareem Jalghaf, Endre Kovács, Imre Ferenc Barna, László Mátyás   +3 more
doaj   +1 more source

A time-splitting spectral scheme for the Maxwell-Dirac system

, 2005
We present a time-splitting spectral scheme for the Maxwell-Dirac system and similar time-splitting methods for the corresponding asymptotic problems in the semi-classical and the non-relativistic regimes.
Bao, Bao, Bao, Bao, Bao, Bechouchc, Bechouche, Bolte, Booth, Chadarn, Christof Sparber, Chunxiong Zheng, Das, Donat, Esteban, Flato, Gross, Jin, Jin, Masmoudi, Najman, Peter A. Markowich, Rauch, Schwabl, Shi Jin, Sparber, Sparber, Spohn, Teufel, Zhongyi Huang   +29 more
core   +2 more sources

Second-order numerical methods for the tempered fractional diffusion equations

Advances in Difference Equations, 2019
In this paper, a class of second-order tempered difference operators for the left and right Riemann–Liouville tempered fractional derivatives is constructed.
Zeshan Qiu, Xuenian Cao
doaj   +1 more source

Analytical and Numerical Results for the Transient Diffusion Equation with Diffusion Coefficient Depending on Both Space and Time

Algorithms, 2023
The time-dependent diffusion equation is studied, where the diffusion coefficient itself depends simultaneously on space and time. First, a family of novel, nontrivial analytical solutions is constructed in one space dimension with the classical self ...
Mahmoud Saleh, Endre Kovács, Imre Ferenc Barna   +2 more
doaj   +1 more source

A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations

Abstract and Applied Analysis, 2014
We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods ...
Leilei Wei, Xindong Zhang
doaj   +1 more source

Health‐Related Quality of Life and Symptom Severity Among Patients With PIK3CA‐Related Overgrowth Spectrum: A Mixed‐Methods Study to Understand Real‐World Experience With Alpelisib Treatment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background PIK3CA‐related overgrowth spectrum (PROS) includes several rare overgrowth disorders resulting from somatic gain‐of‐function mutations in PIK3CA. Despite treatment advances, including the recent approval of alpelisib for PROS in the United States, literature detailing the patient experience with PROS is limited.
Vamsi Bollu, Kaitlin LaGasse, Cory D. Saucier, Kimberly Raymond, Miranda Lauher‐Charest, Lauren Crowder, Beilei Cai, Mary Lisha Paul, Denise Adams   +8 more
wiley   +1 more source

Developing Higher-Order Unconditionally Positive Finite Difference Methods for the Advection Diffusion Reaction Equations

Axioms
This study introduces the higher-order unconditionally positive finite difference (HUPFD) methods to solve the linear, nonlinear, and system of advection–diffusion–reaction (ADR) equations.
Ndivhuwo Ndou, Phumlani Dlamini, Byron Alexander Jacobs   +2 more
doaj   +1 more source

Analytical and Numerical Results for the Diffusion-Reaction Equation When the Reaction Coefficient Depends on Simultaneously the Space and Time Coordinates

Computation, 2023
We utilize the travelling-wave Ansatz to obtain novel analytical solutions to the linear diffusion–reaction equation. The reaction term is a function of time and space simultaneously, firstly in a Lorentzian form and secondly in a cosine travelling-wave ...
Ali Habeeb Askar, Ádám Nagy, Imre Ferenc Barna, Endre Kovács   +3 more
doaj   +1 more source

On the convergence of an unconditionally stable numerical scheme for the Q-tensor flow based on the invariant quadratization method

Applied Mathematics Letters, 2023
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openaire   +2 more sources