Berenguer, M. I.; Gámez, D. Projected iterations of fixed-point type to solve nonlinear partial Volterra integro-differential equations. (English) Zbl 1474.45018 Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4431-4442 (2020). MSC: 45D05 45L05 45N05 47H10 47N20 65R20 PDFBibTeX XMLCite \textit{M. I. Berenguer} and \textit{D. Gámez}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 6, 4431--4442 (2020; Zbl 1474.45018) Full Text: DOI arXiv
Berenguer, M. I.; Gámez, D. A computational method for solving a class of two dimensional Volterra integral equations. (English) Zbl 1357.65312 J. Comput. Appl. Math. 318, 403-410 (2017). MSC: 65R20 45A05 45D05 PDFBibTeX XMLCite \textit{M. I. Berenguer} and \textit{D. Gámez}, J. Comput. Appl. Math. 318, 403--410 (2017; Zbl 1357.65312) Full Text: DOI
Berenguer, M. I.; Gámez, D.; López Linares, A. J. Solution of systems of integro-differential equations using numerical treatment of fixed point. (English) Zbl 1357.65313 J. Comput. Appl. Math. 315, 343-353 (2017). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{M. I. Berenguer} et al., J. Comput. Appl. Math. 315, 343--353 (2017; Zbl 1357.65313) Full Text: DOI
Berenguer, M. I.; Gámez, D.; López Linares, A. J. An iterative scheme for solving systems of nonlinear Fredholm integrodifferential equations. (English) Zbl 1469.65174 Abstr. Appl. Anal. 2014, Article ID 401541, 9 p. (2014). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{M. I. Berenguer} et al., Abstr. Appl. Anal. 2014, Article ID 401541, 9 p. (2014; Zbl 1469.65174) Full Text: DOI
Berenguer, M. I.; Gámez, D.; López Linares, A. J. Fixed point techniques and Schauder bases to approximate the solution of the first order nonlinear mixed Fredholm-Volterra integro-differential equation. (English) Zbl 1288.65183 J. Comput. Appl. Math. 252, 52-61 (2013). MSC: 65R20 45J05 45L05 45N05 PDFBibTeX XMLCite \textit{M. I. Berenguer} et al., J. Comput. Appl. Math. 252, 52--61 (2013; Zbl 1288.65183) Full Text: DOI
Gámez, D. Analysis of the error in a numerical method used to solve nonlinear mixed Fredholm-Volterra-Hammerstein integral equations. (English) Zbl 1260.65110 J. Funct. Spaces Appl. 2012, Article ID 242870, 12 p. (2012). MSC: 65R20 45G10 45B05 45D05 PDFBibTeX XMLCite \textit{D. Gámez}, J. Funct. Spaces Appl. 2012, Article ID 242870, 12 p. (2012; Zbl 1260.65110) Full Text: DOI
Berenguer, M. I.; Gámez, D.; Linares, A. J. López Fixed-point iterative algorithm for the linear Fredholm-Volterra integro-differential equation. (English) Zbl 1251.65171 J. Appl. Math. 2012, Article ID 370894, 12 p. (2012). MSC: 65R20 47H10 45D05 45B05 PDFBibTeX XMLCite \textit{M. I. Berenguer} et al., J. Appl. Math. 2012, Article ID 370894, 12 p. (2012; Zbl 1251.65171) Full Text: DOI
Berenguer, M. I.; Gámez, D.; Garralda-Guillem, A. I.; Ruiz Galán, M.; Pérez, M. C. Serrano Biorthogonal systems for solving Volterra integral equation systems of the second kind. (English) Zbl 1215.65192 J. Comput. Appl. Math. 235, No. 7, 1875-1883 (2011). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R20 45D05 45G15 PDFBibTeX XMLCite \textit{M. I. Berenguer} et al., J. Comput. Appl. Math. 235, No. 7, 1875--1883 (2011; Zbl 1215.65192) Full Text: DOI
Berenguer, M. I.; Gámez, D.; Garralda-Guillem, A. I.; Pérez, M. C. Serrano Nonlinear Volterra integral equation of the second kind and biorthogonal systems. (English) Zbl 1198.65253 Abstr. Appl. Anal. 2010, Article ID 135216, 11 p. (2010). MSC: 65R20 45D05 45G10 45N05 PDFBibTeX XMLCite \textit{M. I. Berenguer} et al., Abstr. Appl. Anal. 2010, Article ID 135216, 11 p. (2010; Zbl 1198.65253) Full Text: DOI EuDML
Berenguer, M. I.; Gámez, D.; Garralda-Guillem, A. I.; Galán, M. Ruiz; Pérez, M. C. Serrano Analytical techniques for a numerical solution of the linear Volterra integral equation of the second kind. (English) Zbl 1187.65140 Abstr. Appl. Anal. 2009, Article ID 149367, 12 p. (2009). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{M. I. Berenguer} et al., Abstr. Appl. Anal. 2009, Article ID 149367, 12 p. (2009; Zbl 1187.65140) Full Text: DOI EuDML