TY  - JOUR
T1  - Solution of parabolic problem with inverse coefficient s(t) with periodic and integral conditions
AU  - Bağlan, İrem
PY  - 2022
DA  - November
Y2  - 2022
DO  - 10.34088/kojose.1030080
JF  - Kocaeli Journal of Science and Engineering
JO  - KOJOSE
PB  - Kocaeli Üniversitesi
WT  - DergiPark
SN  - 2667-484X
SP  - 1
EP  - 9
VL  - 5
IS  - ICOLES2021 Special Issue
LA  - en
AB  - In this publication, We examine the inverse parabolic parabolik with nonlocal and integral conditional. Firstly, finding the existence, uniqueness and problem of stability, numerical analysis will be done by using the finite difference method for the numerical approximation of this  problem.The solution is found examining the Fourier and the iteration method and also numerical solution are given using the finite difference method and results will be mentioned in the discussion section.
KW  - NonlinearProblem
KW  - Inverse Problem
KW  - Integral Condition
KW  - Finite Difference Method
CR  - [1]	Baglan I., Kanca F., Mishra V.N., 2018. Determination of an Unknown Heat Source from Integral Overdetermination Condition. Iran J Sci Technol Trans Sci, 42(3), pp.1373–1382.
CR  - [2]	Kanca F., Baglan I., 2013. Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition. Boundary Value Problems, 28(3), pp.55-67.
CR  - [3]	Baglan I., 2015. Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition. Inverse Problems in Science and Engineering, 23(5), pp.884–900.
CR  - [4]	Cannon J.R., Lin Y., 1988. Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 4(3), pp.595-606.
UR  - https://doi.org/10.34088/kojose.1030080
L1  - https://dergipark.org.tr/tr/download/article-file/2105721
ER  -