Search Results - Numerical methods for ill-posed problems for boundary value problems involving PDEs

Direct solution of ill-posed boundary value problems by radial basis function collocation method by Cheng, A. H.-D., Cabral, J. J. S. P.

“…Numerical solution of ill‐posed boundary value problems normally requires iterative procedures…”
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A modified quasi-boundary value method for ill-posed problems by Denche, M., Bessila, K.

“… This problem is ill-posed. Perturbing the final condition we obtain an approximate nonlocal problem depending on a small parameter…”
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Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation by Benrabah, A., Boussetila, N.

“…In this paper, we propose a modified nonlocal boundary value problem method for an homogeneous biharmonic equation in a rectangular domain…”
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A quasi-boundary value method for regularizing nonlinear ill-posed problems by Dang Duc Trong, Pham Hoang Quan, Nguyen Huy Tuan

“… Sharp error estimates for the approximate solutions, and numerical examples to illustrate the effectiveness our method are provided…”
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A modified quasi-boundary value method for a class of abstract parabolic ill-posed problems

“… This problem is ill-posed. Perturbing the final condition, we obtain an approximate nonlocal problem depending on a small parameter…”
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A modified quasi-boundary value method for a class of abstract parabolic ill-posed problems by Denche, M., Djezzar, S.

“… This problem is ill-posed. Perturbing the final condition, we obtain an approximate nonlocal problem depending on a small parameter…”
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The modified quasi-boundary-value method for an ill-posed generalized elliptic problem by Selmani, Wissame, Boussetila, Nadjib, Kirane, Mokhtar, Alsulami, Hamed

“…In this study, we are interested in the regularization of an ill-posed problem generated by a generalized elliptic equation in an abstract framework…”
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A modified quasi-boundary value method for a class of abstract parabolic ill-posed problems by Denche M, Djezzar S

“… This problem is ill-posed. Perturbing the final condition, we obtain an approximate nonlocal problem depending on a small parameter…”
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Least-squares method in the theory of ill-posed linear boundary-value problems with pulse action by Chuiko, S. M.

“…We use the scheme of the classic least-squares method for the construction of an approximate pseudosolution of a linear ill-posed boundary-value problem with pulse action for a system of ordinary…”
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A modified quasi-boundary value method for an abstract ill-posed biparabolic problem by Besma, Khelili, Nadjib, Boussetila, Faouzia, Rebbani

“… In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to construct approximate stable solutions for the original ill-posed boundary value problem…”
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Ill-posed boundary-value problems

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Ill-Posed Boundary-Value Problems by Temirbolat, Serikkali E

“… It is devoted to the questions of ill-posed boundary-value problems for systems of various types of the first-order differential equations with constant coefficients…”
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Well-Posed and Ill-Posed Boundary Value Problems for PDE by Ashyralyev, Allaberen, Piskarev, Sergey, Covachev, Valery, Ashurov, Ravshan, Yurtsever, Hasan Ali

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Regularization by a modified quasi-boundary value method of the ill-posed problems for differential-operator equations of the first order by Bessila, K.

“… In this work, we will use a modified quasi-boundary value method; we obtain an approximate non-local problem depending on a small parameter α∈]0,1…”
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Numerical method for solving of ill-conditioned boundary value problems in nonlinear elasticity by Brigadnov, Igor A.

“…The article discusses the boundary value problem (BVP) of nonlinear elasticity for mapping (deformation…”
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Well-Posed and Ill-Posed Boundary Value Problems for PDE by Ashyralyev, Allaberen, Piskarev, Sergey, Covachev, Valery, Ashurov, Ravshan, Yurtsever, Hasan Ali

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A numerical method for solving nonlinear ill-posed problems by Ramm, Alexander G., Smirnova, Alexandra B.

“… A convergence theorem is proved. The proposed method is illustrated by a numerical example in which a nonlinear inverse problem of gravimetry is considered…”
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Modified auxiliary boundary conditions method for an ill‐posed problem for the homogeneous biharmonic equation by Benrabah, Abderafik, Boussetila, Nadjib, Rebbani, Faouzia

“… We show that the problem under consideration is ill‐posed; therefore, to solve it, we opted for a regularization method via modified auxiliary boundary conditions…”
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A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems by Varah, J. M.

“…Four well-known methods for the numerical solution of linear discrete ill-posed problems are investigated from a common point of view…”
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Ill-Posed Internal Boundary Value Problems for the Biharmonic Equation by Atakhodzhaev, Mukarram A

“… This monograph studies three essentially ill-posed internal boundary value problems for the biharmonic equation and the Cauchy problem for the abstract biharmonic equation, both qualitatively and quantitatively…”
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