Search for: [Abstract = "Integral equations in space\-time play very important role in mechanics and technology. Particular cases of these equations called mixed integral equations or Volterra\-Fredholm integral equations arise in the heat conduction theory \[4, 6\] and the diffusion theory. Moreover, a current density in electromagnetism is determined by the Volterra\-Fredholm integral equations \[4\]. Nonlinear counterparts of the equations studied in \[1\] are mathematical models of the spatio\-temporal development of an epidemic \(the spread of the disease in the given population\). Some initial\-boundary problems for a number of partial differential equations in physics are reducible to the considered integral equations \[2\- 3, 6\], In this paper the general theory of these equations is used in the projection methods. Presented methods lead to a system of algebraic equations or to a system of Volterra integral equations. The convergence of studied algorithm is proved, the error estimate is established. The presented theory is illustrated by numerical examples."]
