THE STUDY OF SOLVING PARTIAL DIFFERENTIAL EQUATIONS

Author(s)	Dr. Ramesh Bhaskarrao Ghadge
Country	India
Abstract	The Equations of the kind known as partial differential equations are used in a wide variety of sciences within the applied mathematics, including the hydrodynamics, electricity, the quantum physics, and the electromagnetic theory. Analyzing these equations analytically is a procedure that is fairly complicated and calls for the use of sophisticated mathematical tools. On the other hand, it is often far simpler to create adequately approximative answers using the straightforward numerical approaches that are also very effective. For the purpose of solving the partial differential equations, many numerical approaches have been put up as potential the solutions. Only the techniques used in the solution of elliptic, hyperbolic, and the parabolic partial differential equations would be covered here among those approaches. In other words, one will only solve the partial differential equations of the elliptic, hyperbolic, and the parabolic varieties.
Keywords	Analytical, numerical methods, solving, partial differential equations.
Field	Mathematics
Published In	Volume 7, Issue 2, March-April 2025
Published On	2025-04-26
DOI	https://doi.org/10.36948/ijfmr.2025.v07i02.42520
Short DOI	https://doi.org/g9gvhp

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