WebFeb 2, 2024 · F [x_,t_] := y [x] Exp [m t] which is the most general solution you can have for this equation. Note that m must be pure imaginary to have a solution. So F [x,t] = y [x] Exp [I m t] is an oscillatory function in time. That is why you won't get any answer with m = 1 or any other integer or real numbers. However trying 'm = 0. + 1. I' would yield: WebMar 26, 2014 · tain partial differential equation problems using a “separation of variables” method that will be discussed in a later chapter. It is the theory behind Sturm-Liouville problems that, ultimately, justifies the “separation of variables” method for these partial differential equation problems.
Solving a Sturm-Liouville problem - Mathematics Stack …
WebThe so-called Sturm–Liouville problem 1 ... The theorem does not help us solve the problem, but it tells us when a unique solution exists, so that we know when to spend time looking for it. To solve the problem we decompose \(f(x)\) and \(y(x)\) in terms of eigenfunctions of the homogeneous problem, and then solve for the coefficients of the ... WebApr 19, 2024 · Sturm Liouville Differential Equation 36,243 views Apr 19, 2024 245 Dislike Share Save ICMEStudio 3.28K subscribers Show more Sturm Liouville Problem: introduction and meaning Daniel An... chinese food hanover ontario
differential equations - How to solve a Sturm-Liouville …
Webtreat this type of inverse problems. There were many works to develop algorithms for solving the inverse Sturm-Liouville problem of reconstructing potential function from … WebApr 11, 2024 · We suggest a new statement of the inverse spectral problem for Sturm--Liouville-type operators with constant delay. This inverse problem consists in recovering the coefficient (often referred to as potential) of the delayed term in the corresponding equation from the spectra of two boundary value problems with one common boundary condition. … WebOct 13, 2024 · Find the Eigenfunctions and Eigenvalues of a Sturm-Liouville problem Solo Anch 1K subscribers Subscribe 8.7K views 1 year ago In this video, we are working on Ordinary Differential Equation... grandit tcs