Browsing by Author "Mishra, Vishnu Narayan"

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Citation - WoS: 3
Citation - Scopus: 2
Fourier Method for an Existence of Quasilinear Inverse Pseudo-Parabolic Equation
(Tarbiat Modares Univ, Acecr, 2024) Kanca, Fatma; Kanca, Fatma; Mishra, Vishnu Narayan; Bilgisayar Mühendisliği Bölümü
In this work, the inverse quasi -linear pseudo -parabolic problem was investigated. We demonstrated the solution by the Fourier approximation. The inverse problem was first examined by linearizing and then used implicit finite difference schema for the numerical solution.
Citation - WoS: 2
Citation - Scopus: 3
Identification Problem of a Leading Coefficient To the Time Derivative of Parabolic Equation With Nonlocal Boundary Conditions
(Springer international Publishing Ag, 2019) Kanca, Fatma; Mishra, Vishnu Narayan; Bilgisayar Mühendisliği Bölümü
In this study, the problem of determining the time-dependent leading coefficient to the time derivative of heat equation with nonlocal boundary and integral addition conditions is considered. The existence and uniqueness of a solution of the inverse problem under considerations are established. Some results on the numerical solution with an example are presented.
Citation - WoS: 0
Citation - Scopus: 0
Solution of Inverse Euler-Bernoulli Problem With Integral Overdetermination and Periodic Boundary Conditions
(Tarbiat Modares Univ, Acecr, 2022) Kanca, Fatma; Kanca, Fatma; Mishra, Vishnu Narayan; Bilgisayar Mühendisliği Bölümü
In this work, we tried to find the inverse coefficient in the Euler problem with over determination conditions. It showed the existence, stability of the solution by iteration method and linearization method was used for this problem in numerical part. Also two examples are presented with figures.