A Solve Troesch's Equation: Numerical Technique & Derivation

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Troesch's equation, u′′(x) = λ sinh(λu(x)), is being addressed through numerical techniques, with a request for its derivation and variable details. A user has provided an introduction, a solution, and a bibliography link for reference. The discussion emphasizes the need for clarity on the derivation of Troesch's equation to aid in numerical solving. The provided link leads to a general solution for Troesch's problem, which may assist in understanding the equation better. Overall, the focus remains on finding a comprehensive derivation and numerical approach for solving Troesch's equation.
wasi-uz-zaman
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Troesch's equation explanation
hi, i am going to solve Troesch's equation u′′(x) = λ sinh(λu(x))
by numerical technique, but i couldn't find the derivation of it- kindly anyone knows its derivation or details of variable used.
regards wasi
 
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Here is an introduction, a solution and a bibliography.
https://www.researchgate.net/publication/253644077_A_general_solution_for_Troesch's_problem/link/55a9969208ae815a04254f47/download
 

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