Monotone iterates for solving nonlinear integro-parabolic equations of Volterra type

Igor Boglaev ^[1]
1. [1] Massey University
  
  Massey University
  
  Nueva Zelanda
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 290, Nº 1, 2015, págs. 224-238
Idioma: inglés
DOI: 10.1016/j.cam.2015.05.009
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Resumen
- The paper deals with numerical solving of nonlinear integro-parabolic problems based on the method of upper and lower solutions. A monotone iterative method is constructed. Existence and uniqueness of a solution to the nonlinear difference scheme are established. An analysis of convergence rates of the monotone iterative method is given. Construction of initial upper and lower solutions is discussed. Numerical experiments are presented.