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Some properties of a new general triple complex integral transform [PDF]
مجلة جامعة الانبار للعلوم الصرفةThis paper investigates a novel triple complex integral transform, highlighting its properties and its applications to functional, integral, and partial differential equations.
Nada Mohammed +2 more
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Abel's Integral Equation as a Convolution Transform [PDF]
Proceedings of the American Mathematical Society, 1956 the first equation to be treated and solved as an integral equation, has an extensive literature, dealing on the one hand with properties of the functions involved, and on the other hand with the solution, and conditions for solubility of the equation. In the first category one might cite, in the modern spirit, the memoirs of Hardy [1, pp.
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Alexandria Engineering Journal, 2019 The present work focuses on formulating a numerical scheme for approximation of Volterra integral equations with highly oscillatory Bessel kernels. The application of Laplace transform reduces integral equations into algebraic equations.
Marjan Uddin, Muhammad Taufiq
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Integral Transforms of Fourier Cosine and Sine Generalized Convolution Type [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 Integral transforms of the formf(x)↦g(x)=(1−d2/dx2){∫0∞k1(y)[f(|x+y−1|)+f(|x−y+1|)−f(x+y+1)−f(|x−y−1|)]dy+∫0∞k2(y)[f(x+y)+f(|x−y|)]dy}fromLp(ℝ+)toLq(ℝ+),(1≤p≤2,p−1+q−1=1)are studied. Watson's and Plancherel's theorems are obtained.
Xuan Thao Nguyen +2 more
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Solution of Nonlinear Partial Differential Equations by New Laplace Variational Iteration Method
Journal of Function Spaces, 2014 The aim of this study is to give a good strategy for solving some linear and nonlinear partial differential equations in engineering and physics fields, by combining Laplace transform and the modified variational iteration method. This method is based on
Eman M. A. Hilal, Tarig M. Elzaki
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Integral transforms, convolution products, and first variations
International Journal of Mathematics and Mathematical Sciences, 2004 We establish the various relationships that exist among the integral transform ℱα,βF, the convolution product (F∗G)α, and the first variation δF for a class of functionals defined on K[0, T], the space of complex‐valued continuous functions on [0, T] which vanish at zero.
Kim, Bong Jin +2 more
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GENERALIZED CONDITIONAL INTEGRAL TRANSFORMS, CONDITIONAL CONVOLUTIONS AND FIRST VARIATIONS [PDF]
Korean Journal of Mathematics, 2012 Summary: We study various relationships that exist among generalized conditional integral transform, generalized conditional convolution and generalized first variation for a class of functionals defined on \(K[0, T]\), the space of complex-valued continuous functions on \([0, T]\) which vanish at zero.
Kim, Bong Jin, Kim, Byoung Soo
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BioMedical Engineering OnLine, 2012 Background Electrical Impedance Tomography (EIT) is used as a fast clinical imaging technique for monitoring the health of the human organs such as lungs, heart, brain and breast.
Abbasi Mahdi, Naghsh-Nilchi Ahmad-Reza
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Mathematical and Computational Applications, 2019 This article presents an algorithm for solving the unsteady problem of one-dimensional coupled thermoelastic diffusion perturbations propagation in a multicomponent isotropic half-space, as a result of surface and bulk external effects.
Sergey A. Davydov +2 more
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On the Convolution Quadrature Rule for Integral Transforms with Oscillatory Bessel Kernels [PDF]
Symmetry, 2018 Lubich’s convolution quadrature rule provides efficient approximations to integrals with special kernels. Particularly, when it is applied to computing highly oscillatory integrals, numerical tests show it does not suffer from fast oscillation. This paper is devoted to studying the convergence property of the convolution quadrature rule for highly ...
Junjie Ma 0003, Huilan Liu
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