Numerical solution of two-term time-fractional PDE models arising in mathematical physics using local meshless method
Li Jun-Feng,
Ahmad Imtiaz,
Ahmad Hijaz,
Shah Dawood,
Chu Yu-Ming,
Thounthong Phatiphat,
Ayaz Muhammad
Affiliations
Li Jun-Feng
School of Science, Hunan City University, Yiyang, 413000, People’s Republic of China
Ahmad Imtiaz
Department of Mathematics, University of Swabi, Khyber Pakhtunkhwa, Pakistan
Ahmad Hijaz
Department of Basic Sciences, University of Engineering and Technology Peshawar, Peshawar, Pakistan
Shah Dawood
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Chu Yu-Ming
Department of Mathematics, Huzhou University, Huzhou 313000, China
Thounthong Phatiphat
Renewable 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, Thailand
Ayaz Muhammad
Department of Mathematics, Abdul Wali Khan University, Garden Campus, Mardan, KP, Pakistan
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.
