Numerical Method for Solving the Parametric Identification Problem for Loaded Differential Equations

In the work, we propose a method of numerical solution to coefficient inverse problems with respect to loaded differential equations with multi point and integral conditions. The method is based on the operation that convolves given integral conditions into point conditions. This method allows reducing the solution to the initial problem to a Cauchy problem with respect to systems of ordinary differential and of linear algebraic equations. The approach is extended to a class of one-dimensional inverse problems for loaded parabolic equations.