An efficient method for solving nonlocal initial-boundary value problems for linear and nonlinear first-order hyperbolic partial differential equations - Bougoffa, Lazhar (Journal of applied mathematics & computing, 2013)
Keywords: Applied mathematics; Boundary conditions; Boundary value problems; Computational Mathematics and Numerical Analysis; Computer science; Decomposition; Hilbert space; Initial value problems; Linear equations; Mathematical analysis; Mathematical and Computational Engineering; Mathematics; Mathematics and Statistics; Mathematics of Computing; Nonlinearity; Original Research; Partial differential equations; Polynomials; Studies; Theory of Computation; Transforms; 35K20; Adomian polynomials; Adomian decomposition method; 34B10; 35L15; Systems of first-order hyperbolic partial differential equations; Nonlocal initial-boundary value problem; 35K55; First-order hyperbolic partial differential equations; 35L20