Results 21 to 30 of about 5,018 (278)
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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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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Approximation of integral operators using product-convolution expansions [PDF]
, 2017 International audienceWe consider a class of linear integral operators with impulse responses varying regularly in time or space. These operators appear in a large number of applications ranging from signal/image processing to biology.
Weiss, Pierre +3 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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An integral representation for the product of parabolic cylinder functions [PDF]
, 2017 This paper uses the convolution theorem of the Laplace transform to derive an inverse Laplace transform for the product of two parabolic cylinder functions in which the orders as well as the arguments differ. This result subsequently is used to obtain an
Veestraeten, D.J.M.
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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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A Coiflets-Based Wavelet Laplace Method for Solving the Riccati Differential Equations
Journal of Applied Mathematics, 2014 A wavelet iterative method based on a numerical integration by using the Coiflets orthogonal wavelets for a nonlinear fractional differential equation is proposed.
Xiaomin Wang
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Uncertainty principles and integral equations associated with a quadratic‐phase wavelet transform
, 2023 Taking into account a wavelet transform associated with the quadratic-phase Fourier transform, we obtain several types of uncertainty principles, as well as identify conditions that guarantee the unique solution for a class of integral equations ...
L. P. Castro +3 more
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