Results 1 to 10 of about 29,061 (317)
On a time fractional diffusion with nonlocal in time conditions
Advances in Difference Equations, 2021 In this work, we consider a fractional diffusion equation with nonlocal integral condition. We give a form of the mild solution under the expression of Fourier series which contains some Mittag-Leffler functions. We present two new results.
Nguyen Hoang Tuan +3 more
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Approximation of inverse source problem for time fractional pseudo-parabolic equation in $L^p$ [PDF]
Mathematics and Computational Sciences, 2023 In this work, we focus on the final value problem of an inverse problem for the pseudo-parabolic equation. This study aims to provide a regularization method for this equation, once the measurement data are obtained at the final time in $L^{r}(0,\pi ...
Phong Tran, Long Le
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Updating the Landweber Iteration Method for Solving Inverse Problems
Mathematics, 2022 The Landweber iteration method is one of the most popular methods for the solution of linear discrete ill-posed problems. The diversity of physical problems and the diversity of operators that result from them leads us to think about updating the main ...
Hassan K. Ibrahim Al-Mahdawi +4 more
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Regularization and Error Estimate for the Poisson Equation with Discrete Data
Mathematics, 2019 In this work, we focus on the Cauchy problem for the Poisson equation in the two dimensional domain, where the initial data is disturbed by random noise.
Nguyen Anh Triet +3 more
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Viscoelastic Modulus Reconstruction Using Time Harmonic Vibrations
Mathematical Modelling and Analysis, 2015 This paper presents a new iterative reconstruction method to provide high-resolution images of shear modulus and viscosity via the internal measurement of displacement fields in tissues. To solve the inverse problem, we compute the Frechet derivatives of
Habib Ammari +2 more
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The ill-posed Cauchy problem by Controllability the elliptic case
Results in Control and Optimization, 2023 In this paper, we are dealing with the ill-posed Cauchy problem for an elliptic operator. To do this, we interpret the problem as an inverse problem, and therefore a controllability problem.
Bylli André Guel, Ousseynou Nakoulima
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A Strongly Ill-Posed Problem for the Equation
Cumhuriyet Science Journal, 2018 In this work, we consider an inverse problem for an elliptic equationwhich is strongly ill-posed in Hadamard sense. We prove the uniqueness of thesolution of the problem by using Carleman estimates.
Mustafa Yıldız
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Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 It is important to note that mixed systems of first and second-kind Volterra–Fredholm integral equations are ill-posed problems, so that solving discretized system of such problems has a lot of difficulties.
S. Pishbin, J. Shokri
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Mathematical modelling of an elongated magnetic droplet in a rotating magnetic field
Mathematical Modelling and Analysis, 2012 Dynamics of an elongated droplet under the action of a rotating magnetic field is considered by mathematical modelling. The actual shape of a droplet is obtained by solving the initial-boundary value problem of a nonlinear singularly perturbed partial ...
Andrejs Cebers, Harijs Kalis
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Química Nova, 2011 A neural network procedure to solve inverse chemical kinetic problems is discussed in this work. Rate constants are calculated from the product concentration of an irreversible consecutive reaction: the hydrogenation of Citral molecule, a process with ...
Rita C. O. Sebastião +3 more
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