Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...
SIAM Journal on Applied Mathematics, Vol. 39, No. 2 (Oct., 1980), pp. 272-289 (18 pages) In this paper we consider the determination of an unknown diffusion coefficient in a nonlinear diffusion ...
In this paper, the time-fractional heat equation with the Caputo derivative of order α where 0 < α ≤ 1 is considered. The parametric Crank-Nicholson type method for direct problems is used. But for ...
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AI techniques excel at solving complex equations in physics, especially inverse problems
Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
Composite functions are made when the output from one function is used as the input of another function. The names of the functions are written next to each other, with the function that is used first ...
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