@misc{Dolai_P._Oblique, author={Dolai, P.}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step. Havelock expansions of water wave potentials are used in the mathematical analysis to obtain the physical parameters reflection and transmission coefficients in terms of integrals. Appropriate multi-term Galerkin approximations involving ultraspherical Gegenbauer polynomials are utilized to obtain a very accurate numerical estimate for reflection and transmission coefficients which are depicted graphically. From these figures various interesting results are discussed.}, type={artykuł}, title={Oblique water wave diffraction by a step}, keywords={finite step, Havelock expansion, Galerkin approximation, Gegenbauer polynomial, reflection coefficients, transmission coefficients}, }