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Francesca Pitolli
Fractional differential problems are widely used in applied sciences. For this reason, there is a great interest in the construction of efficient numerical methods to approximate their solution. The aim of this paper is to describe in detail a collocatio...
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Shiva Sharma,Prashant K. Pandey,Rajesh K. Pandey,Kamlesh Kumar
This paper presents the Bernstein and hybrid Bernstein approximations to solve the generalized Abel?s integral equations (GAIEs) via collocation approach. Bernstein polynomial and hybrid Bernstein functions are used in the approximation of GAIEs solution...
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Thanh Hoai Nguyen and Kyoungsik Chang
In the present work, a comparative study of two major non-intrusive polynomial chaos methods, Point-Collocation Non-Intrusive Polynomial Chaos (NIPC) and Non-Intrusive Spectral Projection (NISP), was conducted for the transitional ??-????
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Cheng-Yu Ku, Jing-En Xiao and Chih-Yu Liu
In this article, we present a meshless method based on the method of fundamental solutions (MFS) capable of solving free surface flow in three dimensions. Since the basis function of the MFS satisfies the governing equation, the advantage of the MFS is t...
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Jisong Zhao and Teng Shang
Dynamic optimization has wide applications in scientific and industrial researches. Multiresolution techniques provide an efficient way to solve dynamic optimization problems but have some disadvantages. An improved multiresolution technique is developed...
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