Organizers: Dr. Vijay Kumar Kukreja, Department of Mathematics, SLIET Longowal – 148106 (Punjab) India
Dr. Nabendra Parumasur, Department of Mathematics, Statistics and Computer Science, University of KwaZulu Natal, Durban – 4000, South Africa
Dr. Pravin Singh, Department of Mathematics, Statistics and Computer Science, University of KwaZulu Natal, Durban – 4000, South Africa
Email: vkkukreja@gmail.com, Parumasurn1@ukzn.ac.za, singhprook@gmail.com
Classical PDEs involve partial derivatives of a function of multiple variables describing physical quantities. These are crucial for understanding continuous processes across disciplines, with solutions often forming the basis for applied research and technological developments. Fractional PDEs are an extension of classical PDEs, which generalize derivatives to non-integer orders. These equations have become a valuable tool for modelling complex, real-world systems exhibiting features not adequately captured by traditional PDEs.
Spectral methods are known for their exceptional accuracy and efficiency in solving a wide range of differential equations with flexibility in handling various types of boundary conditions. These methods exhibit exponential convergence rates and are suitable for numerical simulations requiring precise solutions. These methods offer flexibility in choosing basis functions tailored to specific problem characteristics. Their ability to resolve high-frequency components and global nature makes them indispensable tools in scientific computing and engineering simulations, where precision and computational efficiency are paramount.