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In this work, when modeling problems over regions that extended very far in at least one direction, we often idealized the situation to that of a problem having infinite extent in one or more directions, where any boundary conditions that would have applied on the far-away boundaries are discarded in favor of simple bounded-ness conditions on the solution as the appropriate variable is sent to infinity. Such problems were mathematically modeled by differential equations defined on infinite regions. For one-dimensional problems we distinguish two types of infinite regions: infinite intervals…mehr

Produktbeschreibung
In this work, when modeling problems over regions that extended very far in at least one direction, we often idealized the situation to that of a problem having infinite extent in one or more directions, where any boundary conditions that would have applied on the far-away boundaries are discarded in favor of simple bounded-ness conditions on the solution as the appropriate variable is sent to infinity. Such problems were mathematically modeled by differential equations defined on infinite regions. For one-dimensional problems we distinguish two types of infinite regions: infinite intervals extending from - to and semi-infinite intervals extending from one point (usually the origin) to infinite (usually + ) are infinite, but by introducing a mathematical model with infinite extent, we are able to determine behavior of problems in the situations in which the influence of actual boundaries are expected to be negligible.
Autorenporträt
Yahya Muhi Kadhim was born in 13/11/1976. He was an Iraqi Citizen. He can speak Arabic and English. He has specialty on Mathematics. He completed M.Sc. in Applied Mathematics. He has projects on "A Study on Application of Partial Differential Equation and Its Relation with Fourier" and "Integral Transformation and Different Forms".