Georgieva, Atanaska Solving two-dimensional nonlinear fuzzy Volterra integral equations by homotopy analysis method. (English) Zbl 1467.45002 Demonstr. Math. 54, 11-24 (2021). MSC: 45D05 45L05 65R20 PDFBibTeX XMLCite \textit{A. Georgieva}, Demonstr. Math. 54, 11--24 (2021; Zbl 1467.45002) Full Text: DOI
Noeiaghdam, Samad; Fariborzi Araghi, Mohammad Ali; Abbasbandy, Saeid Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic. (English) Zbl 1412.65244 Numer. Algorithms 81, No. 1, 237-267 (2019). MSC: 65R20 65G99 PDFBibTeX XMLCite \textit{S. Noeiaghdam} et al., Numer. Algorithms 81, No. 1, 237--267 (2019; Zbl 1412.65244) Full Text: DOI
Van Gorder, Robert A. Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations. (English) Zbl 1416.65251 Numer. Algorithms 81, No. 1, 181-196 (2019). MSC: 65L99 PDFBibTeX XMLCite \textit{R. A. Van Gorder}, Numer. Algorithms 81, No. 1, 181--196 (2019; Zbl 1416.65251) Full Text: DOI
Zhang, Xiaolong; Liang, Songxin; Zou, Li Uniqueness and error estimates for solutions to higher-order boundary value problems. (English) Zbl 1366.65072 J. Comput. Appl. Math. 321, 44-59 (2017). MSC: 65L10 34B15 65L70 PDFBibTeX XMLCite \textit{X. Zhang} et al., J. Comput. Appl. Math. 321, 44--59 (2017; Zbl 1366.65072) Full Text: DOI
Jaradat, Ali; Awawdeh, Fadi; Noorani, Mohd Salmi Md Identification of time-dependent source terms and control parameters in parabolic equations from overspecified boundary data. (English) Zbl 1353.65100 J. Comput. Appl. Math. 313, 397-409 (2017). MSC: 65M32 35K05 35R30 65M15 65M12 PDFBibTeX XMLCite \textit{A. Jaradat} et al., J. Comput. Appl. Math. 313, 397--409 (2017; Zbl 1353.65100) Full Text: DOI
Brociek, Rafał; Hetmaniok, Edyta; Matlak, Jarosław; Słota, Damian Application of the homotopy analysis method for solving the systems of linear and nonlinear integral equations. (English) Zbl 1488.65739 Math. Model. Anal. 21, No. 3, 350-370 (2016). MSC: 65R20 45D05 45F05 PDFBibTeX XMLCite \textit{R. Brociek} et al., Math. Model. Anal. 21, No. 3, 350--370 (2016; Zbl 1488.65739) Full Text: DOI
Haussermann, John; Van Gorder, Robert A. Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations. (English) Zbl 1326.65171 Numer. Algorithms 70, No. 2, 227-248 (2015). MSC: 65N99 35J60 65N12 65N15 PDFBibTeX XMLCite \textit{J. Haussermann} and \textit{R. A. Van Gorder}, Numer. Algorithms 70, No. 2, 227--248 (2015; Zbl 1326.65171) Full Text: DOI
Mallory, Kristina; Van Gorder, Robert A. Method for constructing analytical solutions to the Dym initial value problem. (English) Zbl 1354.35131 Appl. Math. Comput. 226, 67-82 (2014). MSC: 35Q53 35C10 35A25 PDFBibTeX XMLCite \textit{K. Mallory} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 226, 67--82 (2014; Zbl 1354.35131) Full Text: DOI
Hetmaniok, Edyta; Słota, Damian; Trawiński, Tomasz; Wituła, Roman Usage of the homotopy analysis method for solving the nonlinear and linear integral equations of the second kind. (English) Zbl 1304.65270 Numer. Algorithms 67, No. 1, 163-185 (2014). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45G10 45A05 PDFBibTeX XMLCite \textit{E. Hetmaniok} et al., Numer. Algorithms 67, No. 1, 163--185 (2014; Zbl 1304.65270) Full Text: DOI
Mallory, Kristina; Van Gorder, Robert A. Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation. (English) Zbl 1299.76025 Numer. Algorithms 66, No. 4, 843-863 (2014). MSC: 76B15 76M25 35C10 35Q35 PDFBibTeX XMLCite \textit{K. Mallory} and \textit{R. A. Van Gorder}, Numer. Algorithms 66, No. 4, 843--863 (2014; Zbl 1299.76025) Full Text: DOI
Russo, Matthew; Van Gorder, Robert A. Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems. (English) Zbl 1286.65139 Appl. Math. Comput. 219, No. 12, 6494-6509 (2013). MSC: 65M99 65M15 35Q40 PDFBibTeX XMLCite \textit{M. Russo} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 219, No. 12, 6494--6509 (2013; Zbl 1286.65139) Full Text: DOI
Mallory, Kristina; Van Gorder, Robert A. Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation. (English) Zbl 1283.65090 Numer. Algorithms 64, No. 4, 633-657 (2013). MSC: 65M15 35Q82 65M70 65M12 PDFBibTeX XMLCite \textit{K. Mallory} and \textit{R. A. Van Gorder}, Numer. Algorithms 64, No. 4, 633--657 (2013; Zbl 1283.65090) Full Text: DOI