Can you help me in Optimization and One Inverse Boundary Value Problem?

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Mahamad Nabab Alam Popular answer

https://www.researchgate.net/publication/296636431_Codes_in_MATLAB_for_Particle_Swarm_Optimization

Code Codes in MATLAB for Particle Swarm Optimization

Alessandro Formisano

Hi Adel, please be more specific

Adel Matherth

i want new efficient technique( from numerical method) for solve this inverse problem

is artificial intelligence good idea for solve it ? if yes , which better particle swarm optimization , genetic algorithm or firefly algorithm ?

is there new method for solve this optimization inverse problem?

Dear Adel, as far as I understand, you want to use opiimization methods to solve inverse problems for Volterra eq. in Heat conduction.

I am not familiar with the problem, but as a general rule, the choice of algorithm depends on the proof of uniqueness (needs regularization? which data you have? Temper. of thermal gradient?), and the well-posedness of the problem (mostly, on its sensitivity to noise and uncertainties).

If I should attack this problem, I would use some kind of neural network, maybe incorporating fuzzy operator to deal with uncertainty.

Hope this was useful. Keep me posted-

thank you for your answer me prof. Alessandro Formisano

Mahamad Nabab Alam

https://www.researchgate.net/publication/297245624_Particle_Swarm_Optimization_Algorithm_and_its_Codes_in_MATLAB

Research Particle Swarm Optimization: Algorithm and its Codes in MATLAB

M. J. Ebadi

Hi, the following papers can help you:

https://www.researchgate.net/publication/312141846_A_projection_type_steepest_descent_neural_network_for_solving_a_class_of_nonsmooth_optimization_problems

https://www.researchgate.net/publication/283448488_A_non-penalty_recurrent_neural_network_for_solving_a_class_of_constrained_optimization_problems

https://www.researchgate.net/publication/236899596_A_New_Steepest_Descent_Differential_Inclusion-Based_Method_for_Solving_General_Nonsmooth_Convex_Optimization_Problems

https://www.researchgate.net/publication/236899619_A_differential_inclusion-based_approach_for_solving_nonsmooth_convex_optimization_problems

https://www.researchgate.net/publication/236180856_A_recurrent_neural_network_for_solving_a_class_of_generalized_convex_optimization_problems