Solving the Caputo Fractional Reaction-Diffusion Equation on GPU

Solving the Caputo Fractional Reaction-Diffusion Equation on GPU

We present a parallel GPU solution of the Caputo fractional reaction-diffusion equation in one spatial dimension with explicit finite difference approximation. The parallel solution, which is implemented with CUDA programming model, consists of three procedures: preprocessing, parallel solver, and p...

Full description

Saved in:

Bibliographic Details
Main Authors:	Jie Liu, Chunye Gong, Weimin Bao, Guojian Tang, Yuewen Jiang
Format:	Article
Language:	English
Published:	Wiley 2014-01-01
Series:	Discrete Dynamics in Nature and Society
Online Access:	http://dx.doi.org/10.1155/2014/820162
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator
by: Meshari Alesemi, et al.
Published: (2022-01-01)

Analysis of Numerical Method for Diffusion Equation with Time-Fractional Caputo–Fabrizio Derivative
by: Hanxiao Wang, et al.
Published: (2023-01-01)

On the Speed of Spread for Fractional Reaction-Diffusion Equations
by: Hans Engler
Published: (2010-01-01)

On Solutions to Fractional Iterative Differential Equations with Caputo Derivative
by: Alemnew Abera, et al.
Published: (2023-01-01)

Averaging Principle for Caputo Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion with Delays
by: Pengju Duan, et al.
Published: (2021-01-01)

Existence Results of Langevin Equations with Caputo–Hadamard Fractional Operator
by: Sombir Dhaniya, et al.
Published: (2023-01-01)

Green’s Functions on Various Time Scales for the Time-Fractional Reaction-Diffusion Equation
by: Alexey Zhokh, et al.
Published: (2023-01-01)

A Comparative Study of Fractional-Order Diffusion Model within Atangana-Baleanu-Caputo Operator
by: Mohammad Alshammari, et al.
Published: (2022-01-01)

Perona-Malik Model with Diffusion Coefficient Depending on Fractional Gradient via Caputo-Fabrizio Derivative
by: Gustavo Asumu Mboro Nchama, et al.
Published: (2020-01-01)

Implementation of Membrane Algorithms on GPU
by: Xingyi Zhang, et al.
Published: (2014-01-01)

An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations
by: Weifeng Wang, et al.
Published: (2021-01-01)

Investigating a Class of Generalized Caputo-Type Fractional Integro-Differential Equations
by: Saeed M. Ali, et al.
Published: (2022-01-01)

Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative
by: Changyou Wang, et al.
Published: (2012-01-01)

Solving Fractional-Order Diffusion Equations in a Plasma and Fluids via a Novel Transform
by: Pongsakorn Sunthrayuth, et al.
Published: (2022-01-01)

On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative
by: Ali El Mfadel, et al.
Published: (2021-01-01)

GPU-Accelerated Finite Element Method for Modelling Light Transport in Diffuse Optical Tomography
by: Martin Schweiger
Published: (2011-01-01)

Adaptive Hierarchical Collocation Method for Solving Fractional Population Diffusion Model
by: Linqiang Yang, et al.
Published: (2023-01-01)

A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions
by: Wafa Shammakh
Published: (2016-01-01)

Multiple Positive Solutions for a System of Nonlinear Caputo-Type Fractional Differential Equations
by: Hongyu Li, et al.
Published: (2020-01-01)

Application of modified extended direct algebraic method to nonlinear fractional diffusion reaction equation with cubic nonlinearity
by: Muhammad Bilal, et al.
Published: (2025-02-01)

Solving Fractional Difference Equations Using the Laplace Transform Method
by: Li Xiao-yan, et al.
Published: (2014-01-01)

Similarity Solution for Fractional Diffusion Equation
by: Jun-Sheng Duan, et al.
Published: (2014-01-01)

Existence and Uniqueness Results of Volterra–Fredholm Integro-Differential Equations via Caputo Fractional Derivative
by: Ameth Ndiaye, et al.
Published: (2021-01-01)

An RBF-LOD Method for Solving Stochastic Diffusion Equations
by: Samaneh Mokhtari, et al.
Published: (2024-01-01)

Modeling Drug Concentration Level in Blood Using Fractional Differential Equation Based on Psi-Caputo Derivative
by: Muath Awadalla, et al.
Published: (2022-01-01)

Modified Step Variational Iteration Method for Solving Fractional Biochemical Reaction Model
by: R. Yulita Molliq, et al.
Published: (2011-01-01)

Adaptive Optimal 𝑚-Stage Runge-Kutta Methods for Solving Reaction-Diffusion-Chemotaxis Systems
by: Jui-Ling Yu
Published: (2011-01-01)

Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation
by: Huiqin Chen, et al.
Published: (2018-01-01)

Numerical Method to Modify the Fractional-Order Diffusion Equation
by: Yunkun Chen
Published: (2022-01-01)

Numerical Solutions of Singularly Perturbed Reaction Diffusion Equation with Sobolev Gradients
by: Nauman Raza, et al.
Published: (2013-01-01)

Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives
by: Muhammad Imran, et al.
Published: (2025-02-01)

An Efficient GPU-Based Out-of-Core LU Solver of Parallel Higher-Order Method of Moments for Solving Airborne Array Problems
by: Zhongchao Lin, et al.
Published: (2017-01-01)

Analytical Approximate Solutions of Caputo Fractional KdV-Burgers Equations Using Laplace Residual Power Series Technique
by: Aliaa Burqan, et al.
Published: (2024-01-01)

Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives
by: Kamel Haouam, et al.
Published: (2006-01-01)

A New Method for Solving Sequential Fractional Wave Equations
by: Sondos M. Syam, et al.
Published: (2023-01-01)

High Performance GPU-Based Fourier Volume Rendering
by: Marwan Abdellah, et al.
Published: (2015-01-01)

On the Existence and Stability of Positive Solutions of Eigenvalue Problems for a Class of P-Laplacian ψ-Caputo Fractional Integro-Differential Equations
by: Yahia Awad
Published: (2023-01-01)

Profile-Tracking-Based Adaptive Guidance Law against Maneuvering Targets
by: Jingshuai Huang, et al.
Published: (2019-01-01)

Integral Transform Methods for Solving Fractional Dynamic Equations on Time Scales
by: Mohamad Rafi Segi Rahmat
Published: (2014-01-01)

Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions
by: Adel Al-Rabtah, et al.
Published: (2012-01-01)