Kudryashov, Nikolay A.; Kutukov, Aleksandr A.; Lavrova, Sofia F. Properties of the generalized Chavy-Waddy-Kolokolnikov model for description of bacterial colonies. (English) Zbl 07784291 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107645, 9 p. (2024). MSC: 35Q92 92D25 92C17 35C08 35C07 35K25 35K55 65T50 65L06 92-08 PDFBibTeX XMLCite \textit{N. A. Kudryashov} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107645, 9 p. (2024; Zbl 07784291) Full Text: DOI
Sun, Y. X.; Tian, Z. F. An efficient fourth-order three-point scheme for solving some nonlinear dispersive wave equations. (English) Zbl 07733035 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107366, 23 p. (2023). MSC: 65-XX 37-XX PDFBibTeX XMLCite \textit{Y. X. Sun} and \textit{Z. F. Tian}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107366, 23 p. (2023; Zbl 07733035) Full Text: DOI
Narimani, Niusha; Dehghan, Mehdi A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment. (English) Zbl 1497.92060 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106616, 25 p. (2022). MSC: 92C32 35Q92 65D12 PDFBibTeX XMLCite \textit{N. Narimani} and \textit{M. Dehghan}, Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106616, 25 p. (2022; Zbl 1497.92060) Full Text: DOI
Ngondiep, Eric A two-level fourth-order approach for time-fractional convection-diffusion-reaction equation with variable coefficients. (English) Zbl 1486.65121 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106444, 30 p. (2022). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{E. Ngondiep}, Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106444, 30 p. (2022; Zbl 1486.65121) Full Text: DOI arXiv
Oruç, Ömer A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates. (English) Zbl 07428002 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106042, 18 p. (2022). MSC: 65M70 65M06 65N35 65L06 65D12 65D07 65M12 65M15 35Q55 82C10 82M22 PDFBibTeX XMLCite \textit{Ö. Oruç}, Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106042, 18 p. (2022; Zbl 07428002) Full Text: DOI
Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. (English) Zbl 1471.65162 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105755, 22 p. (2021). MSC: 65M70 65M06 65N06 65M12 65D12 82D75 35R11 PDFBibTeX XMLCite \textit{O. Nikan} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105755, 22 p. (2021; Zbl 1471.65162) Full Text: DOI
Martin-Vergara, Francisca; Rus, Francisco; Villatoro, Francisco R. Padé schemes with Richardson extrapolation for the sine-Gordon equation. (English) Zbl 1452.65170 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105243, 14 p. (2020). MSC: 65M06 41A21 35C08 35Q51 35Q53 PDFBibTeX XMLCite \textit{F. Martin-Vergara} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105243, 14 p. (2020; Zbl 1452.65170) Full Text: DOI
Bak, Soyoon; Kim, Philsu; Kim, Dojin A semi-Lagrangian approach for numerical simulation of coupled Burgers’ equations. (English) Zbl 1524.35327 Commun. Nonlinear Sci. Numer. Simul. 69, 31-44 (2019). MSC: 35K61 65M25 65K05 PDFBibTeX XMLCite \textit{S. Bak} et al., Commun. Nonlinear Sci. Numer. Simul. 69, 31--44 (2019; Zbl 1524.35327) Full Text: DOI
Soleymani, Fazlollah; Barfeie, Mahdiar; Haghani, Farhad Khaksar Inverse multi-quadric RBF for computing the weights of FD method: application to American options. (English) Zbl 1524.65397 Commun. Nonlinear Sci. Numer. Simul. 64, 74-88 (2018). MSC: 65M06 65D12 65M15 91G20 91G60 35Q91 65F35 PDFBibTeX XMLCite \textit{F. Soleymani} et al., Commun. Nonlinear Sci. Numer. Simul. 64, 74--88 (2018; Zbl 1524.65397) Full Text: DOI
Bastani, Ali Foroush; Dastgerdi, Maryam Vahid; Mighani, Abolfazl On multilevel RBF collocation to solve nonlinear PDEs arising from endogenous stochastic volatility models. (English) Zbl 1461.91347 Commun. Nonlinear Sci. Numer. Simul. 59, 88-104 (2018). MSC: 91G60 65N35 PDFBibTeX XMLCite \textit{A. F. Bastani} et al., Commun. Nonlinear Sci. Numer. Simul. 59, 88--104 (2018; Zbl 1461.91347) Full Text: DOI
Antunes, Pedro R. S.; Ferreira, Rui A. C. Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives. (English) Zbl 07257655 Commun. Nonlinear Sci. Numer. Simul. 48, 398-413 (2017). MSC: 34-XX 26A33 34K10 33C05 34L30 PDFBibTeX XMLCite \textit{P. R. S. Antunes} and \textit{R. A. C. Ferreira}, Commun. Nonlinear Sci. Numer. Simul. 48, 398--413 (2017; Zbl 07257655) Full Text: DOI Link
Galuzio, Paulo P.; Benkadda, S.; Lopes, S. R. Characterization of intermittency at the onset of turbulence in the forced and damped nonlinear Schrödinger equation. (English) Zbl 1473.35504 Commun. Nonlinear Sci. Numer. Simul. 42, 404-419 (2017). MSC: 35Q55 76F06 PDFBibTeX XMLCite \textit{P. P. Galuzio} et al., Commun. Nonlinear Sci. Numer. Simul. 42, 404--419 (2017; Zbl 1473.35504) Full Text: DOI
Gandarias, Maria Luz; Khalique, Chaudry Masood Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations. (English) Zbl 1510.35264 Commun. Nonlinear Sci. Numer. Simul. 32, 114-121 (2016). MSC: 35Q53 35A30 PDFBibTeX XMLCite \textit{M. L. Gandarias} and \textit{C. M. Khalique}, Commun. Nonlinear Sci. Numer. Simul. 32, 114--121 (2016; Zbl 1510.35264) Full Text: DOI
Rad, J. A.; Kazem, Saeed; Parand, K. Optimal control of a parabolic distributed parameter system via radial basis functions. (English) Zbl 1510.49029 Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2559-2567 (2014). MSC: 49M25 49M29 49K20 49N10 PDFBibTeX XMLCite \textit{J. A. Rad} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2559--2567 (2014; Zbl 1510.49029) Full Text: DOI
Shirvani-Sh, Vahid; Nadjafikhah, Mehdi Conservation laws and exact solutions of the Whitham-type equations. (English) Zbl 1457.35062 Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2212-2219 (2014). MSC: 35Q53 35A30 37K06 PDFBibTeX XMLCite \textit{V. Shirvani-Sh} and \textit{M. Nadjafikhah}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2212--2219 (2014; Zbl 1457.35062) Full Text: DOI
Mohebbi, Akbar; Asgari, Zohreh; Dehghan, Mehdi Numerical solution of nonlinear Jaulent-Miodek and Whitham-Broer-Kaup equations. (English) Zbl 1266.65176 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4602-4610 (2012). MSC: 65M70 35Q35 65T50 65M20 PDFBibTeX XMLCite \textit{A. Mohebbi} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4602--4610 (2012; Zbl 1266.65176) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M. On shifted Jacobi spectral method for high-order multi-point boundary value problems. (English) Zbl 1251.65112 Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802-3810 (2012). MSC: 65L10 34B05 34B10 34B15 65L60 65L20 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802--3810 (2012; Zbl 1251.65112) Full Text: DOI
Dong, Xuanchun A fourth-order split-step pseudospectral scheme for the Kuramoto-Tsuzuki equation. (English) Zbl 1248.65105 Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3161-3168 (2012). MSC: 65M70 35Q56 65M12 65M15 PDFBibTeX XMLCite \textit{X. Dong}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3161--3168 (2012; Zbl 1248.65105) Full Text: DOI
Bai, Dongmei; Wang, Jianli The time-splitting Fourier spectral method for the coupled Schrödinger-Boussinesq equations. (English) Zbl 1245.35116 Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1201-1210 (2012). MSC: 35Q55 35Q35 65M22 65T50 PDFBibTeX XMLCite \textit{D. Bai} and \textit{J. Wang}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1201--1210 (2012; Zbl 1245.35116) Full Text: DOI
Bhrawy, Ali H.; Alofi, A. S. A Jacobi-Gauss collocation method for solving nonlinear Lane-Emden type equations. (English) Zbl 1244.65099 Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 62-70 (2012). MSC: 65L05 65L60 34A34 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{A. S. Alofi}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 62--70 (2012; Zbl 1244.65099) Full Text: DOI
Parand, K.; Abbasbandy, S.; Kazem, S.; Rezaei, A. R. Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium. (English) Zbl 1221.76156 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1396-1407 (2011). MSC: 76M25 76S05 PDFBibTeX XMLCite \textit{K. Parand} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1396--1407 (2011; Zbl 1221.76156) Full Text: DOI arXiv
Parand, K.; Abbasbandy, S.; Kazem, S.; Rad, J. A. A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation. (English) Zbl 1222.65150 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4250-4258 (2011). MSC: 65R20 45J05 45G10 92D25 PDFBibTeX XMLCite \textit{K. Parand} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4250--4258 (2011; Zbl 1222.65150) Full Text: DOI
Uddin, Marjan; Haq, Sirajul RBFs approximation method for time fractional partial differential equations. (English) Zbl 1220.65145 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4208-4214 (2011). MSC: 65M70 PDFBibTeX XMLCite \textit{M. Uddin} and \textit{S. Haq}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4208--4214 (2011; Zbl 1220.65145) Full Text: DOI
Fan, Xinghua; Yang, Shouxiang; Yin, Jiuli; Tian, Lixin Bifurcations of traveling wave solutions for a two-component Fornberg-Whitham equation. (English) Zbl 1232.35125 Commun. Nonlinear Sci. Numer. Simul. 16, No. 10, 3956-3963 (2011). Reviewer: Erich Miersemann (Leipzig) MSC: 35Q35 35Q53 35C07 76B15 35B65 PDFBibTeX XMLCite \textit{X. Fan} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 10, 3956--3963 (2011; Zbl 1232.35125) Full Text: DOI
Shidfar, A.; Reihani, P. A series solution of nonlinear injection-extraction well equation. (English) Zbl 1222.76078 Commun. Nonlinear Sci. Numer. Simul. 15, No. 9, 2278-2283 (2010). MSC: 76M25 76S05 PDFBibTeX XMLCite \textit{A. Shidfar} and \textit{P. Reihani}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 9, 2278--2283 (2010; Zbl 1222.76078) Full Text: DOI
Sun, Jian-Qiang; Qin, Meng-Zhao; Wei, Hua; Dong, Dai Gui Numerical simulations of collision behaviors of optical solitons in birefringent fibres. (English) Zbl 1221.78043 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1259-1266 (2009). MSC: 78A60 65M06 PDFBibTeX XMLCite \textit{J.-Q. Sun} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1259--1266 (2009; Zbl 1221.78043) Full Text: DOI
Afanasyev, Y. D.; Korabel, V. N. Wakes and vortex streets behind a localized force: numerical simulations. (English) Zbl 1221.76070 Commun. Nonlinear Sci. Numer. Simul. 13, No. 6, 1101-1111 (2008). MSC: 76D17 PDFBibTeX XMLCite \textit{Y. D. Afanasyev} and \textit{V. N. Korabel}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 6, 1101--1111 (2008; Zbl 1221.76070) Full Text: DOI
Kaya, Doǧan An application for the higher order modified KdV equation by decomposition method. (English) Zbl 1070.35061 Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 693-702 (2005). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{D. Kaya}, Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 693--702 (2005; Zbl 1070.35061) Full Text: DOI
Zerarka, A.; Foester, V. G. Separation method for solving the generalized Korteweg-de Vries equation. (English) Zbl 1073.35198 Commun. Nonlinear Sci. Numer. Simul. 10, No. 2, 217-225 (2005). MSC: 35Q53 37K40 76B25 PDFBibTeX XMLCite \textit{A. Zerarka} and \textit{V. G. Foester}, Commun. Nonlinear Sci. Numer. Simul. 10, No. 2, 217--225 (2005; Zbl 1073.35198) Full Text: DOI