Mittal, Avinash Kumar Error analysis and approximation of Jacobi pseudospectral method for the integer and fractional order integro-differential equation. (English) Zbl 1482.65241 Appl. Numer. Math. 171, 249-268 (2022). MSC: 65R20 65M70 34K37 45D05 45K05 65M12 65M15 PDFBibTeX XMLCite \textit{A. K. Mittal}, Appl. Numer. Math. 171, 249--268 (2022; Zbl 1482.65241) Full Text: DOI
Dang, Quang A.; Dang, Quang Long A unified approach to study the existence and numerical solution of functional differential equation. (English) Zbl 1482.65117 Appl. Numer. Math. 170, 208-218 (2021). MSC: 65L10 65L03 34K07 PDFBibTeX XMLCite \textit{Q. A. Dang} and \textit{Q. L. Dang}, Appl. Numer. Math. 170, 208--218 (2021; Zbl 1482.65117) Full Text: DOI arXiv
Yuttanan, Boonrod; Razzaghi, Mohsen; Vo, Thieu N. Legendre wavelet method for fractional delay differential equations. (English) Zbl 1468.65078 Appl. Numer. Math. 168, 127-142 (2021). MSC: 65L03 65L60 34K37 PDFBibTeX XMLCite \textit{B. Yuttanan} et al., Appl. Numer. Math. 168, 127--142 (2021; Zbl 1468.65078) Full Text: DOI
Du, Hong; Chen, Zhong; Yang, Tiejun A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel. (English) Zbl 1453.65449 Appl. Numer. Math. 157, 210-222 (2020). MSC: 65R20 65L05 34K37 45J05 65L20 PDFBibTeX XMLCite \textit{H. Du} et al., Appl. Numer. Math. 157, 210--222 (2020; Zbl 1453.65449) Full Text: DOI
Gumah, G.; Naser, M. F. M.; Al-Smadi, M.; Al-Omari, S. K. Q.; Baleanu, D. Numerical solutions of hybrid fuzzy differential equations in a Hilbert space. (English) Zbl 1451.65102 Appl. Numer. Math. 151, 402-412 (2020). MSC: 65L99 65L05 34A07 34A12 34A38 46N20 PDFBibTeX XMLCite \textit{G. Gumah} et al., Appl. Numer. Math. 151, 402--412 (2020; Zbl 1451.65102) Full Text: DOI
Xiao, Aiguo; Wang, Junjie Symplectic scheme for the Schrödinger equation with fractional Laplacian. (English) Zbl 1423.81070 Appl. Numer. Math. 146, 469-487 (2019). MSC: 81Q05 34L40 34A08 39A12 53D05 34K28 PDFBibTeX XMLCite \textit{A. Xiao} and \textit{J. Wang}, Appl. Numer. Math. 146, 469--487 (2019; Zbl 1423.81070) Full Text: DOI
Rakhshan, Seyed Ali; Effati, Sohrab A generalized Legendre-Gauss collocation method for solving nonlinear fractional differential equations with time varying delays. (English) Zbl 1448.34147 Appl. Numer. Math. 146, 342-360 (2019). MSC: 34K37 65L60 33C45 PDFBibTeX XMLCite \textit{S. A. Rakhshan} and \textit{S. Effati}, Appl. Numer. Math. 146, 342--360 (2019; Zbl 1448.34147) Full Text: DOI
Zhou, Shaobo; Jin, Hai Numerical solution to highly nonlinear neutral-type stochastic differential equation. (English) Zbl 07065962 Appl. Numer. Math. 140, 48-75 (2019). MSC: 65-XX 65Lxx 65Cxx 60Hxx 34Kxx PDFBibTeX XMLCite \textit{S. Zhou} and \textit{H. Jin}, Appl. Numer. Math. 140, 48--75 (2019; Zbl 07065962) Full Text: DOI
Odibat, Zaid On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations. (English) Zbl 1409.65040 Appl. Numer. Math. 137, 203-212 (2019). MSC: 65L03 26A33 65H20 PDFBibTeX XMLCite \textit{Z. Odibat}, Appl. Numer. Math. 137, 203--212 (2019; Zbl 1409.65040) Full Text: DOI
Xiong, Xiangtuan; Xue, Xuemin; Qian, Zhi A modified iterative regularization method for ill-posed problems. (English) Zbl 1375.65077 Appl. Numer. Math. 122, 108-128 (2017). MSC: 65J20 65J10 47A52 65D18 94A08 PDFBibTeX XMLCite \textit{X. Xiong} et al., Appl. Numer. Math. 122, 108--128 (2017; Zbl 1375.65077) Full Text: DOI
Yan, Zhiping; Xiao, Aiguo; Tang, Xiao Strong convergence of the split-step theta method for neutral stochastic delay differential equations. (English) Zbl 1370.65004 Appl. Numer. Math. 120, 215-232 (2017). MSC: 65C30 60H10 60H35 34K28 34K40 34K50 PDFBibTeX XMLCite \textit{Z. Yan} et al., Appl. Numer. Math. 120, 215--232 (2017; Zbl 1370.65004) Full Text: DOI
Zhao, Jingjun; Fan, Yan; Xu, Yang Delay-dependent stability of symmetric Runge-Kutta methods for second order delay differential equations with three parameters. (English) Zbl 1365.65182 Appl. Numer. Math. 117, 103-114 (2017). MSC: 65L03 34K28 65L06 65L20 PDFBibTeX XMLCite \textit{J. Zhao} et al., Appl. Numer. Math. 117, 103--114 (2017; Zbl 1365.65182) Full Text: DOI
Wang, Wansheng Fully-geometric mesh one-leg methods for the generalized pantograph equation: approximating Lyapunov functional and asymptotic contractivity. (English) Zbl 1365.65180 Appl. Numer. Math. 117, 50-68 (2017). MSC: 65L03 34K28 34K40 65L50 65L20 PDFBibTeX XMLCite \textit{W. Wang}, Appl. Numer. Math. 117, 50--68 (2017; Zbl 1365.65180) Full Text: DOI
Roberts, J. A.; Al Themairi, A. Introducing delay dynamics to Bertalanffy’s spherical tumour growth model. (English) Zbl 1357.65093 Appl. Numer. Math. 114, 154-164 (2017). MSC: 65L05 34A34 34K28 34K12 65L03 92C17 PDFBibTeX XMLCite \textit{J. A. Roberts} and \textit{A. Al Themairi}, Appl. Numer. Math. 114, 154--164 (2017; Zbl 1357.65093) Full Text: DOI Link
Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons. (English) Zbl 1295.65078 Appl. Numer. Math. 85, 38-53 (2014). MSC: 65L03 34K28 92C20 65L12 PDFBibTeX XMLCite \textit{P. M. Lima} et al., Appl. Numer. Math. 85, 38--53 (2014; Zbl 1295.65078) Full Text: DOI Link
Li, Yibao; Kim, Junseok An unconditionally stable hybrid method for image segmentation. (English) Zbl 1291.65187 Appl. Numer. Math. 82, 32-43 (2014). MSC: 65K10 65D18 49M25 49J20 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Kim}, Appl. Numer. Math. 82, 32--43 (2014; Zbl 1291.65187) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M. A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. (English) Zbl 1302.65175 Appl. Numer. Math. 77, 43-54 (2014). MSC: 65L60 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Appl. Numer. Math. 77, 43--54 (2014; Zbl 1302.65175) Full Text: DOI
Tian, Hongjiong; Yu, Quanhong; Jin, Cilai Continuous block implicit hybrid one-step methods for ordinary and delay differential equations. (English) Zbl 1243.65087 Appl. Numer. Math. 61, No. 12, 1289-1300 (2011). Reviewer: Raffaella Pavani (Milano) MSC: 65L06 65L05 34A34 34K28 65L20 PDFBibTeX XMLCite \textit{H. Tian} et al., Appl. Numer. Math. 61, No. 12, 1289--1300 (2011; Zbl 1243.65087) Full Text: DOI
Wu, Fuke; Mao, Xuerong; Chen, Kan The Cox-Ingersoll-Ross model with delay and strong convergence of its Euler-Maruyama approximate solutions. (English) Zbl 1172.65009 Appl. Numer. Math. 59, No. 10, 2641-2658 (2009). Reviewer: Henri Schurz (Carbondale) MSC: 65C30 60H10 60H35 34K50 65L20 PDFBibTeX XMLCite \textit{F. Wu} et al., Appl. Numer. Math. 59, No. 10, 2641--2658 (2009; Zbl 1172.65009) Full Text: DOI
Zhang, Chengjian; He, Yaoyao The extended one-leg methods for nonlinear neutral delay-integro-differential equations. (English) Zbl 1163.65052 Appl. Numer. Math. 59, No. 6, 1409-1418 (2009). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L07 65L06 34K28 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{Y. He}, Appl. Numer. Math. 59, No. 6, 1409--1418 (2009; Zbl 1163.65052) Full Text: DOI
Feldstein, Alan; Turner, Peter R. Gradual and tapered overflow and underflow: A functional differential equation and its approximation. (English) Zbl 1089.65041 Appl. Numer. Math. 56, No. 3-4, 517-532 (2006). MSC: 65G50 68P01 PDFBibTeX XMLCite \textit{A. Feldstein} and \textit{P. R. Turner}, Appl. Numer. Math. 56, No. 3--4, 517--532 (2006; Zbl 1089.65041) Full Text: DOI
Jackiewicz, Z.; Zubik-Kowal, B. Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations. (English) Zbl 1093.65096 Appl. Numer. Math. 56, No. 3-4, 433-443 (2006). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65M70 65M12 35R10 35K55 PDFBibTeX XMLCite \textit{Z. Jackiewicz} and \textit{B. Zubik-Kowal}, Appl. Numer. Math. 56, No. 3--4, 433--443 (2006; Zbl 1093.65096) Full Text: DOI
Breda, Dimitri; Maset, Stefano; Vermiglio, Rossana Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions. (English) Zbl 1099.65064 Appl. Numer. Math. 56, No. 3-4, 318-331 (2006). Reviewer: Amin Boumenir (Carrollton) MSC: 65L15 65F15 34K06 34K20 34L16 65L07 34K28 65L60 PDFBibTeX XMLCite \textit{D. Breda} et al., Appl. Numer. Math. 56, No. 3--4, 318--331 (2006; Zbl 1099.65064) Full Text: DOI
Pulch, R. Multi time scale differential equations for simulating frequency modulated signals. (English) Zbl 1069.65103 Appl. Numer. Math. 53, No. 2-4, 421-436 (2005). MSC: 65M25 35R10 94A12 94C05 PDFBibTeX XMLCite \textit{R. Pulch}, Appl. Numer. Math. 53, No. 2--4, 421--436 (2005; Zbl 1069.65103) Full Text: DOI
Zhang, Guofeng Stability of implicit one-block methods for delay differential equations. (English) Zbl 0971.65070 Appl. Numer. Math. 36, No. 2-3, 275-279 (2001). Reviewer: Emil Minchev (Sofia) MSC: 65L20 65L07 34K28 65L06 34K20 65L05 PDFBibTeX XMLCite \textit{G. Zhang}, Appl. Numer. Math. 36, No. 2--3, 275--279 (2001; Zbl 0971.65070) Full Text: DOI
Zubik-Kowal, Barbara Chebyshev pseudospectral method and waveform relaxation for differential and differential-functional parabolic equations. (English) Zbl 0948.65102 Appl. Numer. Math. 34, No. 2-3, 309-328 (2000). Reviewer: E.Emmrich (Berlin) MSC: 65M70 65M15 65M12 35R10 65M06 35K15 PDFBibTeX XMLCite \textit{B. Zubik-Kowal}, Appl. Numer. Math. 34, No. 2--3, 309--328 (2000; Zbl 0948.65102) Full Text: DOI
Liu, Yunkang Numerical investigation of the pantograph equation. (English) Zbl 0878.65065 Appl. Numer. Math. 24, No. 2-3, 309-317 (1997). Reviewer: K.Burrage (Brisbane) MSC: 65L05 65L20 34K05 PDFBibTeX XMLCite \textit{Y. Liu}, Appl. Numer. Math. 24, No. 2--3, 309--317 (1997; Zbl 0878.65065) Full Text: DOI
Bellen, A.; Guglielmi, N.; Torelli, L. Asymptotic stability properties of \(\theta\)-methods for the pantograph equation. (English) Zbl 0878.65064 Appl. Numer. Math. 24, No. 2-3, 279-293 (1997). Reviewer: K.Burrage (Brisbane) MSC: 65L05 65L20 34K05 PDFBibTeX XMLCite \textit{A. Bellen} et al., Appl. Numer. Math. 24, No. 2--3, 279--293 (1997; Zbl 0878.65064) Full Text: DOI
Bellen, A. Contractivity of continuous Runge-Kutta methods for delay differential equations. (English) Zbl 0939.65100 Appl. Numer. Math. 24, No. 2-3, 219-232 (1997). MSC: 65L06 65L05 34K28 34K05 PDFBibTeX XMLCite \textit{A. Bellen}, Appl. Numer. Math. 24, No. 2--3, 219--232 (1997; Zbl 0939.65100) Full Text: DOI
Khajah, H. G.; Ortiz, E. L. On a differential-delay equation arising in number theory. (English) Zbl 0870.65057 Appl. Numer. Math. 21, No. 4, 431-437 (1996). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65L05 34K05 11Y35 PDFBibTeX XMLCite \textit{H. G. Khajah} and \textit{E. L. Ortiz}, Appl. Numer. Math. 21, No. 4, 431--437 (1996; Zbl 0870.65057) Full Text: DOI
Higham, Desmond J.; Sardar, Tasneem Existence and stability of fixed points for a discretised nonlinear reaction-diffusion equation with delay. (English) Zbl 0834.65079 Appl. Numer. Math. 18, No. 1-3, 155-173 (1995). Reviewer: S.L.Campbell (Raleigh) MSC: 65L20 65M20 65L05 92D25 35K57 34K05 PDFBibTeX XMLCite \textit{D. J. Higham} and \textit{T. Sardar}, Appl. Numer. Math. 18, No. 1--3, 155--173 (1995; Zbl 0834.65079) Full Text: DOI
Butcher, J. C. The adaptation of STRIDE to delay differential equations. (English) Zbl 0776.65049 Appl. Numer. Math. 9, No. 3-5, 415-425 (1992). Reviewer: L.I.Grimm (Rolla) MSC: 65L05 34K05 PDFBibTeX XMLCite \textit{J. C. Butcher}, Appl. Numer. Math. 9, No. 3--5, 415--425 (1992; Zbl 0776.65049) Full Text: DOI
Paul, Christopher A. H. Developing a delay differential equation solver. (English) Zbl 0779.65043 Appl. Numer. Math. 9, No. 3-5, 403-414 (1992). Reviewer: M.Bartušek (Brno) MSC: 65L05 65L06 34K05 PDFBibTeX XMLCite \textit{C. A. H. Paul}, Appl. Numer. Math. 9, No. 3--5, 403--414 (1992; Zbl 0779.65043) Full Text: DOI