Merazga, NabilBouziani, Abdelfatah2022-04-272022-04-272007http://hdl.handle.net/123456789/13011In this paper, we construct a semidiscrete approximate solution to a semilinear one-dimensional heat equation subject to integral boundary conditions by means of the Rothe discretization in time method. The convergence of the approximation scheme obtained is proved, yielding the well-posedness of the problem considered.enSemilinear heat equationIntegral boundary conditionRothe methodOn a time-discretization method for a semilinear heat equation with purely integral conditions in a nonclassical function spaceArticle