Creator of modern applied mathematics

Ильин, В. А.; Малинецкий, Г Г; Моисеев, Е.И.; Popov, Yu. P.; Samarskiî, A. A.

doi:10.1134/s1019331606050108

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2018

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“…(1) - (3) has the form of (13). Let this solution satisfies condition (5). Then obtain the following equality …”

Section: The Solution Of Problemmentioning

confidence: 99%

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On the Control of the Heat Conduction

Fayziev

2018

IIUMEJ

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Mathematical models of thermo control processes in a rectangular plate are considered. In the model under consideration, the temperature inside a plate is controlled by heat exchange through one boundary while the other three are insulated. The control parameter is a function that satisfies certain integral equations. Sufficient conditions for achieving the given projection of the temperature at a fixed point on the plate and given average temperature are studied. ABSTRAK:Model matematik bagi proses kawalan suhu dalam bekas segi empat tepat telah dipilih. Melalui model ini, suhu bekas dikawal dengan menukar haba melalui salah satu sisi bekas, manakala tiga sisi lain telah ditebat. Parameter kawalan ini ialah fungsi, di mana ia sesuai dengan persamaan sesetengah integral. Keadaan sesuai bagi mencapai suhu tetap bekas seperti cadangan dan suhu purata yang diberikan turut dikaji.

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“…(1) - (3) has the form of (13). Let this solution satisfies condition (5). Then obtain the following equality …”

Section: The Solution Of Problemmentioning

confidence: 99%

“…In works [3][4][5] by Il'in and Moiseev, the questions of boundary control by the various systems described by a wave equation are studied. Notable works [6,7], studied problems related to the process of control associated with the equations of parabolic type, particularly the heat transfer process.…”

Section: Introductionmentioning

confidence: 99%

On the Control of the Heat Conduction

Fayziev

2018

IIUMEJ

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Creator of modern applied mathematics

Cited by 1 publication

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On the Control of the Heat Conduction

On the Control of the Heat Conduction

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