A robust scheme based on novel‐operational matrices for some classes of time‐fractional nonlinear problems arising in mechanics and mathematical physics-Reference-Cited by-同舟云学术

A robust scheme based on novel‐operational matrices for some classes of time‐fractional nonlinear problems arising in mechanics and mathematical physics

Published:2020-06-25 Issue:6 Volume:36 Page:1566-1600
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Usman Muhammad¹²³^ORCID,Hamid Muhammad⁴^ORCID,Khalid Muhammad Saif Ullah¹²³,Haq Rizwan Ul⁵,Liu Moubin¹²³

Affiliation:

1. BIC‐ESAT, College of Engineering Peking University Beijing China

2. State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science Peking University Beijing China

3. Institute of Ocean Research Peking University Beijing China

4. School of Mathematical Sciences Peking University Beijing China

5. Department of Electrical Engineering Bahria University Islamabad Pakistan

Funder

Peking University

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22492

Reference68 articles.

1. A Review of Definitions for Fractional Derivatives and Integral

2. A new collection of real world applications of fractional calculus in science and engineering

3. Some applications of fractional order calculus;Dzieliński A.;Bull. Polish Acad. Sci. Tech. Sci.,2010

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A fast iterative spectral scheme based on novel operational matrices for nonlinear fractional-order singular integral problems;Ain Shams Engineering Journal;2024-08

2. An Efficient Platform for Numerical Modeling of Partial Differential Equations;IEEE Transactions on Geoscience and Remote Sensing;2024

3. Modal Shifted Chebyshev Spectral Collocation Technique for Solving Burger’s–Fisher, Burger’s–Huxley and Two-dimensional Burger’s Equations;International Journal of Applied and Computational Mathematics;2023-12-15

4. Numerical simulation of free convective flow over vertical disk via spectral-collocation method;Case Studies in Thermal Engineering;2023-12

5. A numerical approach to solve hyperbolic telegraph equations via Pell–Lucas polynomials;Journal of Taibah University for Science;2023-09-20