Anti-periodic solutions for Rayleigh-type equations via the reproducing kernel Hilbert space method |
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| Institution: | 1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;2. Bahcesehir University, Faculty of Engineering and Natural Sciences, Istanbul, Turkey;3. Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin 34149-16818, Iran |
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| Abstract: | In this paper, reproducing kernel theorem is employed to solve anti-periodic solutions for Rayleigh-type equations. A simple algorithm is given to obtain the approximate solutions of the equations. By comparing the approximate solution with the exact analytical solution, we find that the simple algorithm is of good accuracy and it can be also applied to some ordinary or partial differential equations with initial-boundary value conditions and nonlocal boundary value conditions. |
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