Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method
Multi-term time-fractional partial differential equations (PDEs) have become a hot topic in the field of mathematical physics and are used to improve the modeling accuracy in the description of anomalous diffusion processes compared to the single-term PDE results. This research includes the numerica...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-12-01
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| Series: | Open Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/phys-2020-0222 |
| _version_ | 1818609810999869440 |
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| author | Li Jun-Feng Ahmad Imtiaz Ahmad Hijaz Shah Dawood Chu Yu-Ming Thounthong Phatiphat Ayaz Muhammad |
| author_facet | Li Jun-Feng Ahmad Imtiaz Ahmad Hijaz Shah Dawood Chu Yu-Ming Thounthong Phatiphat Ayaz Muhammad |
| author_sort | Li Jun-Feng |
| collection | DOAJ |
| description | Multi-term time-fractional partial differential equations (PDEs) have become a hot topic in the field of mathematical physics and are used to improve the modeling accuracy in the description of anomalous diffusion processes compared to the single-term PDE results. This research includes the numerical solutions of two-term time-fractional PDE models using an efficient and accurate local meshless method. Due to the advantages of the meshless nature and ease of applicability in higher dimensions, the demand for meshless techniques is increasing. This approach approximates the solution on a uniform or scattered set of nodes, resulting in well-conditioned and sparse coefficient matrices. Numerical tests are performed to demonstrate the efficacy and accuracy of the proposed local meshless technique. |
| first_indexed | 2024-12-16T15:04:28Z |
| format | Article |
| id | doaj.art-297285f795b8433798f07b400d9245d6 |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-12-16T15:04:28Z |
| publishDate | 2020-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-297285f795b8433798f07b400d9245d62022-12-21T22:27:10ZengDe GruyterOpen Physics2391-54712020-12-011811063107210.1515/phys-2020-0222phys-2020-0222Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless methodLi Jun-Feng0Ahmad Imtiaz1Ahmad Hijaz2Shah Dawood3Chu Yu-Ming4Thounthong Phatiphat5Ayaz Muhammad6School of Science, Hunan City University, Yiyang, 413000, People’s Republic of ChinaDepartment of Mathematics, University of Swabi, Khyber Pakhtunkhwa, PakistanDepartment of Basic Sciences, University of Engineering and Technology Peshawar, Peshawar, PakistanDepartment of Mathematics, Quaid-i-Azam University, Islamabad, PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaRenewable Energy Research Centre, Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King Mongkuts University of Technology North Bangkok, 1518 Pracharat 1 Road, Bangsue, Bangkok 10800, ThailandDepartment of Mathematics, Abdul Wali Khan University, Garden Campus, Mardan, KP, PakistanMulti-term time-fractional partial differential equations (PDEs) have become a hot topic in the field of mathematical physics and are used to improve the modeling accuracy in the description of anomalous diffusion processes compared to the single-term PDE results. This research includes the numerical solutions of two-term time-fractional PDE models using an efficient and accurate local meshless method. Due to the advantages of the meshless nature and ease of applicability in higher dimensions, the demand for meshless techniques is increasing. This approach approximates the solution on a uniform or scattered set of nodes, resulting in well-conditioned and sparse coefficient matrices. Numerical tests are performed to demonstrate the efficacy and accuracy of the proposed local meshless technique.https://doi.org/10.1515/phys-2020-0222meshless methodradial basis functioncaputo derivativeirregular domain |
| spellingShingle | Li Jun-Feng Ahmad Imtiaz Ahmad Hijaz Shah Dawood Chu Yu-Ming Thounthong Phatiphat Ayaz Muhammad Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method Open Physics meshless method radial basis function caputo derivative irregular domain |
| title | Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method |
| title_full | Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method |
| title_fullStr | Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method |
| title_full_unstemmed | Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method |
| title_short | Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method |
| title_sort | numerical solution of two term time fractional pde models arising in mathematical physics using local meshless method |
| topic | meshless method radial basis function caputo derivative irregular domain |
| url | https://doi.org/10.1515/phys-2020-0222 |
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