Approximate Solution of Inverse Problems for the Heat Equation with a Singular Perturbation
А. М. Денисов
Abstract
For the heat conduction equation with a singular perturbation corresponding to a small heat capacity or a small heat conductivity, inverse problems of determining the boundary or initial condition or the source term from additional information about the solution of the equation are considered. The possibility of using the expansion in a small parameter of the solution to the equation for the approximate solution of inverse problems is studied.
Topics & Concepts
MathematicsHeat equationSingular perturbationMathematical analysisInverse problemInversePerturbation (astronomy)Boundary value problemThermal conductionSingular solutionThermodynamicsPhysicsGeometryQuantum mechanicsNumerical methods in inverse problemsHeat Transfer and Mathematical ModelingAdvanced Mathematical Modeling in Engineering