Brandi, Primo; Kamont, Zdzisław; Salvadori, Anna Approximate solutions of mixed problems for first order partial differential-functional equations. (English) Zbl 0737.35134 Atti Semin. Mat. Fis. Univ. Modena 39, No. 1, 277-302 (1991). The author presents an approximate solution method for mixed problems for a nonlinear partial differential equation. A general one-step approximation method is presented for the discretization process of the problem under consideration. A detailed mathematical investigation has been presented for the existence of solutions and their uniqueness. Reviewer: P.K.Mahanti (Ranchi) Cited in 10 Documents MSC: 35R10 Partial functional-differential equations 65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems 65N99 Numerical methods for partial differential equations, boundary value problems 35F20 Nonlinear first-order PDEs Keywords:one-step approximation; uniqueness; existence PDFBibTeX XMLCite \textit{P. Brandi} et al., Atti Semin. Mat. Fis. Univ. Modena 39, No. 1, 277--302 (1991; Zbl 0737.35134)