Approximate solution of the differential equation 𝑦^{”}=𝑓(𝑥,𝑦) with spline functions

Micula, Gh.

doi:10.1090/S0025-5718-1973-0331789-X

Approximate solution of the differential equation $y^{”}=f(x, y)$ with spline functions
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Math. Comp. 27 (1973), 807-816 Request permission

Corrigendum: Math. Comp. 29 (1975), 673-674.
Corrigendum: Math. Comp. 29 (1975), 673-674.

Abstract:

An approximate spline is constructed for the solution of Cauchy’s problem regarding a second-order differential equation. The existence, uniqueness and convergence of the approximate spline solution are investigated.

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