On Multiple Integral Chebyshev Wavelets Collocation Method (MICWCM) for Solving Linear and Non-linear Second-order Differential Equations
O. A. Adewumi, M. O. Oke, R. A. Raji
Journal of Advances in Mathematics and Computer Science · pp. 1–8 · Published 5 Aug 2015
10.9734/BJMCS/2015/19557Abstract
This paper presents a new and reliable algorithm for solving linear and non-linear second-order differential equations. The new algorithm is called Multiple Integral Chebyshev Wavelets Collocation Method (MICWCM). The algorithm improves some of the earlier results obtained by some researchers except in the case of mixed boundary conditions. The method posed to be very accurate, reliable and efficient in handling linear and non-linear initial and boundary value problems. Numerical results obtained by the new method are in agreement with exact solutions available in the literature.
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