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Solving differential and integral equations by the Haar wavelet method; revisited

Ulo Lepik


Solving an n-th order differential equation by the Haar wavelet method usually the highest derivative y(n) is expanded into the series of Haar functions. It is shown in the present paper that if we develop into Haar series the derivative y(n+1) then the results for the same number of grid points are considerably more exact. The same approach is applicable also for integro-differential equations. Four numerical examples are presented.


Haar wavelets, ordinary differential equations, boundary value problems, nonlinear equations

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