Numerical Solution to a Control Problem for Integro-Differential Equations
A. T. Assanova, E. А. Bakirova, Zh. М. Каdirbayeva
Abstract
A control problem for an integro-differential equation is approximated by a problem with parameter for a loaded differential equation. A mutual relationship between the qualitative properties of the original and approximate problems is obtained, and estimates for the differences between their solutions are given. A numerical-approximate method for solving the control problem for the integro-differential equation is proposed, and the convergence, stability, and accuracy of the method are examined.
Topics & Concepts
MathematicsIntegro-differential equationDifferential equationConvergence (economics)Stability (learning theory)Mathematical analysisNumerical analysisNumerical stabilityApplied mathematicsFirst-order partial differential equationComputer scienceEconomicsEconomic growthMachine learningDifferential Equations and Numerical MethodsDifferential Equations and Boundary Problemsadvanced mathematical theories