Continuous Dependence on Data for a Solution of Higher Order Quasi-Linear Parabolic Equation Using Fourier Method
                                    
                                 
                                
                                    
                                                                                                                                                                                                                        Year 2021,
                                                                                        Volume: 7 Issue: 2,                                                                                                                 35 - 41,                                     09.12.2021                                
                                
                                                                                                                        
                                                                                                                                                
                                                        İrem Bağlan
                                                                                                                    
                                                                                                            
                                                
                                                                                                    ,
                                                
                                                                                                                                
                                                                                                                                                
                                                        Timur Canel
                                                                                                            
                                                
                                                
                                                                                                                                                                                            
                                
                                
                                                                    
                                        Abstract
                                        In this paper, higher order inverse quasi-linear parabolic problem was investigated. It demonstrated the solution by the Fourier approximation.It proved continuously dependence upon the data of the solution by iteration method.
                                     
                                
                                                                                                    
                                
                                                                
                                                                
                                
                                                                
                                                                    
                                        References
                                        
                                            
                                                                                                    - 
                                                        [1]  P.R.Sharma , G. Methi, Solution of two dimensional parabolic equation subject to Non-local conditions using homotopy Perturbation method. Jour. of App.Com. Sci,2012; vol.1:12-16.
- 
                                                        [2]  J,R.Cannon , Lin Y., Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations . Inverse Problems.,1989;vol.4:595-606.
- 
                                                        [3]  M. Dehghan,Efficient techniques for the second-order parabolic equation subject to nonlocal specifications ,Applied Numerical Mathematics,2005;vol. 52 (1):39-62.
- 
                                                        [4]  M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol .143 (2): 375-391.
- 
                                                        [5]  M. Dehghan,Implicit Solution of a Two-Dimensional Parabolic Inverse Problem with Temperature Overspecification,Journal of Computational Analysis and Applications,2001;vol. 3:4.
- 
                                                        [6]  N.I. Ionkin , Solution of a boundary-value problem in heat conduction with a nonclassical boundary condition.Differential Equations,1977; vol.13: 204-211.
 
                                     
                                                             
                                                                                
                                
                                
                                    
                                                                                                                                                                                                                        Year 2021,
                                                                                        Volume: 7 Issue: 2,                                                                                                                 35 - 41,                                     09.12.2021                                
                                
                                                                                                                        
                                                                                                                                                
                                                        İrem Bağlan
                                                                                                                    
                                                                                                            
                                                
                                                                                                    ,
                                                
                                                                                                                                
                                                                                                                                                
                                                        Timur Canel
                                                                                                            
                                                
                                                
                                                                                                                                                                                            
                                
                                
                                                                    
                                
                                                                
                                                                
                                                                
                                
                                                                
                                                                    
                                        References
                                        
                                            
                                                                                                    - 
                                                        [1]  P.R.Sharma , G. Methi, Solution of two dimensional parabolic equation subject to Non-local conditions using homotopy Perturbation method. Jour. of App.Com. Sci,2012; vol.1:12-16.
- 
                                                        [2]  J,R.Cannon , Lin Y., Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations . Inverse Problems.,1989;vol.4:595-606.
- 
                                                        [3]  M. Dehghan,Efficient techniques for the second-order parabolic equation subject to nonlocal specifications ,Applied Numerical Mathematics,2005;vol. 52 (1):39-62.
- 
                                                        [4]  M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol .143 (2): 375-391.
- 
                                                        [5]  M. Dehghan,Implicit Solution of a Two-Dimensional Parabolic Inverse Problem with Temperature Overspecification,Journal of Computational Analysis and Applications,2001;vol. 3:4.
- 
                                                        [6]  N.I. Ionkin , Solution of a boundary-value problem in heat conduction with a nonclassical boundary condition.Differential Equations,1977; vol.13: 204-211.