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Fractal Partial Differential Equations: Multiscale modelling, Analysis and Computations

Implementing Organization

South Asian University
Principal Investigator
Dr. Navnit Jha
South Asian University

About

The proposed research work results in efficient computing techniques to solve multi-dimensional FPDEs. Detailed convergence theory and stability analysis of the discrete nonlinear equations will be designed via radial basis network and fuzzy modelling by using optimal discretization techniques. A comparative study employing fuzzy modelling, radial basis, and deep learning will be a milestone in the area of non-conventional partial differential equations. The research work continues to develop efficient computing techniques for nonlinear elliptic and hyperbolic partial differential equations in fractal media.

Patents

0

Source

Source
Science and Engineering Research Board (SERB), DST 2022-23
Funding Organization
Funding Organization
Science and Engineering Research Board (SERB), New Delhi
Anusandhan National Research Foundation (ANRF)
Quick Information
Area of Research
Mathematical Sciences
Start Year
2023
End Year
2026
Sanction Amount
₹ 6.60 L
Status
Ongoing
Contact
navnitjha@sau.ac.in
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
No. of Patents
Filed : 00
Grant : 00
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