An integro-differential parabolic problem with an integral boundary condition

• Published in: Mathematical and computer modelling Vol. 50; no. 1; pp. 123 - 131
• Main Authors: Dabas, Jaydev, Bahuguna, Dhirendra
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.07.2009; Elsevier
• Subjects: Exact sciences and technology; Integral equations; Integro-differential equation; Mathematical analysis; Mathematics; Method of lines; Methods of scientific computing (including symbolic computation, algebraic computation); Numerical analysis. Scientific computation; Ordinary differential equations; Partial differential equations; Sciences and techniques of general use; Weak solution; Method of lines; Weak solution; Integro-differential equation; Differential equation; Initial value problem; Boundary condition; Partial differential equation; Discretization method; Parabolic equation; Numerical analysis; Boundary value problem; Scientific computation; Applied mathematics; Integral equation; Mathematical model; Integrodifferential equation; Computer aided analysis
• ISSN: 0895-7177; 1872-9479
• DOI: 10.1016/j.mcm.2009.03.002

In this work, we consider an integro-differential parabolic equation with an integral boundary condition. We apply the method of semidiscretization in time, also known as the method of lines for proving the existence, uniqueness and continuous dependence on the data. We given an example to demonstrate the applicability of the results obtained.