A numerical algorithm for determination of a control parameter in two-dimensional parabolic inverse problems

چکیده مقاله

N um er i cal s ol uti on of the par ab ol i c par ti al di ffer enti al eq uati ons w i th an unknow n par am eter pl ay tant r ol e i n engi neer i ng appl i cati ons . In thi s s tudy we pr es ent a hi gh or der s chem e f or deter m i ni ng ntr ol par am eter and unknow n s ol uti on of two- di m e ns i onal par ab ol i c i nver s e pr obl em w i th over s p e- a p oi nt i n the s pati al dom ai n. In thi s appr oach, a com pact f our th- or der s chem e i s us ed to di s cr eti ze ati ves of equati on and r educes the pr obl em to a s ys tem of or di nar y di ffer enti al equati ons (O D E s ).