Integral Transforms with the Homotopy Perturbation Method and Some Applications
نویسنده
چکیده
Approximation theory covers some important topics in applied analysis, and its application serves many fields in science and engineering such as fluid mechanics, electromagnetism, diffraction theory, statistics and economics. Although it is an old subject, dating back to Laplace, new methods and applications continue to appear in various publications. There is now a need to provide new methods in the other main area of asymptotic theory, namely, the asymptotic approximation of integrals. In fact, complicated integrals are difficult to solve, and cannot be expressed in terms of elementary functions or analytical formulae. The purpose of this paper is to fulfil this need.
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