Xing, Zhiyong; Wen, Liping A linearized difference scheme for time-fractional sine-Gordon equation. (English) Zbl 1488.35584 Adv. Appl. Math. Mech. 13, No. 2, 285-295 (2021). MSC: 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{Z. Xing} and \textit{L. Wen}, Adv. Appl. Math. Mech. 13, No. 2, 285--295 (2021; Zbl 1488.35584) Full Text: DOI
Xing, Zhiyong; Wen, Liping; Wang, Wansheng An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional sine-Gordon equations. (English) Zbl 1524.65422 Math. Comput. Simul. 181, 624-641 (2021). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{Z. Xing} et al., Math. Comput. Simul. 181, 624--641 (2021; Zbl 1524.65422) Full Text: DOI
Xing, Zhiyong; Wen, Liping; Xiao, Hanyu A fourth-order conservative difference scheme for the Riesz space-fractional sine-Gordon equations and its fast implementation. (English) Zbl 1459.65161 Appl. Numer. Math. 159, 221-238 (2021). MSC: 65M06 65M12 65H10 65T50 15B05 35R11 35Q53 PDFBibTeX XMLCite \textit{Z. Xing} et al., Appl. Numer. Math. 159, 221--238 (2021; Zbl 1459.65161) Full Text: DOI
Wen, Haiyang; Shu, Shi; Wen, Liping Analytical and numerical dissipativity of neutral functional differential equations. (English) Zbl 1479.34128 Appl. Math. Lett. 100, Article ID 106016, 7 p. (2020). Reviewer: Qiru Wang (Guangzhou) MSC: 34K40 34K38 65L03 PDFBibTeX XMLCite \textit{H. Wen} et al., Appl. Math. Lett. 100, Article ID 106016, 7 p. (2020; Zbl 1479.34128) Full Text: DOI
Xing, Zhiyong; Wen, Liping The fast implementation of the ADI-CN method for a class of two-dimensional Riesz space-fractional diffusion equations. (English) Zbl 1488.35583 Adv. Appl. Math. Mech. 11, No. 4, 942-956 (2019). MSC: 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{Z. Xing} and \textit{L. Wen}, Adv. Appl. Math. Mech. 11, No. 4, 942--956 (2019; Zbl 1488.35583) Full Text: DOI
Xing, Zhiyong; Wen, Liping Numerical analysis and fast implementation of a fourth-order difference scheme for two-dimensional space-fractional diffusion equations. (English) Zbl 1429.65203 Appl. Math. Comput. 346, 155-166 (2019). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{Z. Xing} and \textit{L. Wen}, Appl. Math. Comput. 346, 155--166 (2019; Zbl 1429.65203) Full Text: DOI
Wen, Haiyang; Shu, Shi; Wen, Liping A new generalization of Halanay-type inequality and its applications. (English) Zbl 1498.45013 J. Inequal. Appl. 2018, Paper No. 300, 12 p. (2018). MSC: 45J05 45G10 26D15 PDFBibTeX XMLCite \textit{H. Wen} et al., J. Inequal. Appl. 2018, Paper No. 300, 12 p. (2018; Zbl 1498.45013) Full Text: DOI
Xing, Zhiyong; Wen, Liping A conservative difference scheme for the Riesz space-fractional sine-Gordon equation. (English) Zbl 1446.65094 Adv. Difference Equ. 2018, Paper No. 238, 22 p. (2018). MSC: 65M12 65M06 35R11 35Q51 PDFBibTeX XMLCite \textit{Z. Xing} and \textit{L. Wen}, Adv. Difference Equ. 2018, Paper No. 238, 22 p. (2018; Zbl 1446.65094) Full Text: DOI
Liao, Qing; Wen, Liping Dissipativity of Runge-Kutta methods for a class of nonlinear functional-integro-differential equations. (English) Zbl 1444.65025 Adv. Difference Equ. 2017, Paper No. 142, 14 p. (2017). MSC: 65L03 65R20 65L06 PDFBibTeX XMLCite \textit{Q. Liao} and \textit{L. Wen}, Adv. Difference Equ. 2017, Paper No. 142, 14 p. (2017; Zbl 1444.65025) Full Text: DOI
Wang, Suxia; Wen, Liping Numerical dissipativity of neutral integro-differential equations with delay. (English) Zbl 1365.65290 Int. J. Comput. Math. 94, No. 3, 536-553 (2017). MSC: 65R20 45G10 45J05 PDFBibTeX XMLCite \textit{S. Wang} and \textit{L. Wen}, Int. J. Comput. Math. 94, No. 3, 536--553 (2017; Zbl 1365.65290) Full Text: DOI
Wen, Liping; Zhou, Yan Convergence of one-leg methods for neutral delay integro-differential equations. (English) Zbl 1357.65326 J. Comput. Appl. Math. 317, 432-446 (2017). MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{L. Wen} and \textit{Y. Zhou}, J. Comput. Appl. Math. 317, 432--446 (2017; Zbl 1357.65326) Full Text: DOI
Wen, Liping; Liao, Qing Dissipativity of one-leg methods for a class of nonlinear functional-integro-differential equations. (English) Zbl 1357.65325 J. Comput. Appl. Math. 318, 26-37 (2017). MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{L. Wen} and \textit{Q. Liao}, J. Comput. Appl. Math. 318, 26--37 (2017; Zbl 1357.65325) Full Text: DOI
Wen, Liping; Yu, Yuexin Convergence of Runge-Kutta methods for neutral delay integro-differential equations. (English) Zbl 1410.65265 Appl. Math. Comput. 282, 84-96 (2016). MSC: 65L06 45J05 65L03 65L20 PDFBibTeX XMLCite \textit{L. Wen} and \textit{Y. Yu}, Appl. Math. Comput. 282, 84--96 (2016; Zbl 1410.65265) Full Text: DOI
Yu, Yuexin; Wen, Liping Stability analysis of one-leg methods for nonlinear neutral delay integrodifferential equations. (English) Zbl 1418.65082 Discrete Dyn. Nat. Soc. 2015, Article ID 325364, 9 p. (2015). MSC: 65L06 65L20 34K20 45J05 PDFBibTeX XMLCite \textit{Y. Yu} and \textit{L. Wen}, Discrete Dyn. Nat. Soc. 2015, Article ID 325364, 9 p. (2015; Zbl 1418.65082) Full Text: DOI
Wen, Liping; Liu, Xiong; Yu, Yuexin Stability of Runge-Kutta methods for neutral delay differential equations. (English) Zbl 1418.65081 Discrete Dyn. Nat. Soc. 2015, Article ID 127027, 8 p. (2015). MSC: 65L06 65L20 65L03 PDFBibTeX XMLCite \textit{L. Wen} et al., Discrete Dyn. Nat. Soc. 2015, Article ID 127027, 8 p. (2015; Zbl 1418.65081) Full Text: DOI
Yu, Yuexin; Liu, Zhongyan; Wen, Liping Stability analysis of Runge-Kutta methods for nonlinear functional differential and functional equations. (English) Zbl 1442.65139 J. Appl. Math. 2014, Article ID 607827, 9 p. (2014). MSC: 65L20 65L03 65L06 PDFBibTeX XMLCite \textit{Y. Yu} et al., J. Appl. Math. 2014, Article ID 607827, 9 p. (2014; Zbl 1442.65139) Full Text: DOI
Wen, Liping; Liu, Xiong Numerical stability of one-leg methods for neutral delay differential equations. (English) Zbl 1243.65081 BIT 52, No. 1, 251-269 (2012). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L05 65L06 65L07 65L20 65L03 34K28 34K40 PDFBibTeX XMLCite \textit{L. Wen} and \textit{X. Liu}, BIT 52, No. 1, 251--269 (2012; Zbl 1243.65081) Full Text: DOI
Su, Hong; Yang, Shui-Ping; Wen, Li-Ping Stability and convergence of the two parameter cubic spline collocation method for delay differential equations. (English) Zbl 1231.65114 Comput. Math. Appl. 62, No. 6, 2580-2590 (2011). MSC: 65L03 65D07 65L20 65L60 PDFBibTeX XMLCite \textit{H. Su} et al., Comput. Math. Appl. 62, No. 6, 2580--2590 (2011; Zbl 1231.65114) Full Text: DOI
Wen, Liping; Yu, Yuexin; Li, Shoufu Dissipativity of Runge-Kutta methods for Volterra functional differential equations. (English) Zbl 1215.65131 Appl. Numer. Math. 61, No. 3, 368-381 (2011). Reviewer: Kevin Burrage (Brisbane) MSC: 65L06 PDFBibTeX XMLCite \textit{L. Wen} et al., Appl. Numer. Math. 61, No. 3, 368--381 (2011; Zbl 1215.65131) Full Text: DOI
Liu, Xueyong; Wen, Liping Dissipativity of one-leg methods for neutral delay integro-differential equations. (English) Zbl 1204.65156 J. Comput. Appl. Math. 235, No. 1, 165-173 (2010). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 65L20 45J05 65L03 34K40 PDFBibTeX XMLCite \textit{X. Liu} and \textit{L. Wen}, J. Comput. Appl. Math. 235, No. 1, 165--173 (2010; Zbl 1204.65156) Full Text: DOI
Yu, Yuexin; Wen, Liping Stability analysis of one-leg methods for nonlinear functional differential and functional equations. (English) Zbl 1202.65087 J. Comput. Appl. Math. 235, No. 3, 817-824 (2010). Reviewer: R. S. Dahiya (Ames) MSC: 65L03 PDFBibTeX XMLCite \textit{Y. Yu} and \textit{L. Wen}, J. Comput. Appl. Math. 235, No. 3, 817--824 (2010; Zbl 1202.65087) Full Text: DOI
Wang, Wansheng; Wen, Liping; Li, Shoufu Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space. (English) Zbl 1202.65103 J. Comput. Appl. Math. 233, No. 10, 2423-2437 (2010). Reviewer: Thomas Sonar (Braunschweig) MSC: 65L20 65L06 65L50 35K40 34K30 34G20 65L03 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Comput. Appl. Math. 233, No. 10, 2423--2437 (2010; Zbl 1202.65103) Full Text: DOI
Wen, Liping; Wang, Wansheng; Yu, Yuexin Dissipativity and asymptotic stability of nonlinear neutral delay integro-differential equations. (English) Zbl 1220.45008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1746-1754 (2010). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 45J05 45M10 45G10 65R20 45M05 PDFBibTeX XMLCite \textit{L. Wen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1746--1754 (2010; Zbl 1220.45008) Full Text: DOI
Wen, Liping; Wang, Suxia; Yu, Yuexin Dissipativity of Runge-Kutta methods for neutral delay integro-differential equations. (English) Zbl 1177.65196 Appl. Math. Comput. 215, No. 2, 583-590 (2009). Reviewer: Iulian Coroian (Baia Mare) MSC: 65R20 45J05 45G10 PDFBibTeX XMLCite \textit{L. Wen} et al., Appl. Math. Comput. 215, No. 2, 583--590 (2009; Zbl 1177.65196) Full Text: DOI
Wen, Liping; Yu, Yuexin; Li, Shoufu Stability and asymptotic stability of \(\theta \)-methods for nonlinear stiff Volterra functional differential equations in Banach spaces. (English) Zbl 1175.65089 J. Comput. Appl. Math. 230, No. 2, 351-359 (2009). MSC: 65L20 65L05 65L06 65L03 65L04 34K28 34G20 PDFBibTeX XMLCite \textit{L. Wen} et al., J. Comput. Appl. Math. 230, No. 2, 351--359 (2009; Zbl 1175.65089) Full Text: DOI
Wen, Liping; Wang, Wansheng; Yu, Yuexin Dissipativity of \(\theta \)-methods for a class of nonlinear neutral delay differential equations. (English) Zbl 1155.65059 Appl. Math. Comput. 202, No. 2, 780-786 (2008). Reviewer: Neville Ford (Chester) MSC: 65L05 34K28 34K40 PDFBibTeX XMLCite \textit{L. Wen} et al., Appl. Math. Comput. 202, No. 2, 780--786 (2008; Zbl 1155.65059) Full Text: DOI
Wen, Liping; Yu, Yuexin; Wang, Wansheng Generalized Halanay inequalities for dissipativity of Volterra functional differential equations. (English) Zbl 1161.34047 J. Math. Anal. Appl. 347, No. 1, 169-178 (2008). Reviewer: Stig-Olof Londen (Helsinki) MSC: 34K20 34K25 45D05 PDFBibTeX XMLCite \textit{L. Wen} et al., J. Math. Anal. Appl. 347, No. 1, 169--178 (2008; Zbl 1161.34047) Full Text: DOI
Wen, Liping; Wang, Wansheng; Yu, Yuexin; Li, Shoufu Nonlinear stability and asymptotic stability of implicit Euler method for stiff Volterra functional differential equations in Banach spaces. (English) Zbl 1142.65065 Appl. Math. Comput. 198, No. 2, 582-591 (2008). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L20 34K28 34K30 34G20 65L06 PDFBibTeX XMLCite \textit{L. Wen} et al., Appl. Math. Comput. 198, No. 2, 582--591 (2008; Zbl 1142.65065) Full Text: DOI
Yu, Yuexin; Wen, Liping; Li, Shoufu Nonlinear stability of Runge-Kutta methods for neutral delay integro-differential equations. (English) Zbl 1193.65123 Appl. Math. Comput. 191, No. 2, 543-549 (2007). MSC: 65L06 34K28 34K40 PDFBibTeX XMLCite \textit{Y. Yu} et al., Appl. Math. Comput. 191, No. 2, 543--549 (2007; Zbl 1193.65123) Full Text: DOI
Yu, Yuexin; Wen, Liping; Li, Shoufu Stability analysis of general linear methods for nonlinear neutral delay differential equations. (English) Zbl 1120.65091 Appl. Math. Comput. 187, No. 2, 1389-1398 (2007). Reviewer: Fuhua Ling (Milpitas) MSC: 65L20 65L05 34K28 34K40 PDFBibTeX XMLCite \textit{Y. Yu} et al., Appl. Math. Comput. 187, No. 2, 1389--1398 (2007; Zbl 1120.65091) Full Text: DOI
Wen, Liping; Yu, Yuexin; Li, Shoufu Stability of explicit and diagonal implicit Runge-Kutta methods for nonlinear Volterra functional differential equations in Banach spaces. (English) Zbl 1116.65097 Appl. Math. Comput. 183, No. 1, 68-78 (2006). Reviewer: Pat Lumb (Chester) MSC: 65L20 65L06 65L05 34G20 34K28 34K30 PDFBibTeX XMLCite \textit{L. Wen} et al., Appl. Math. Comput. 183, No. 1, 68--78 (2006; Zbl 1116.65097) Full Text: DOI
Wen, Liping; Li, Shoufu Dissipativity of Volterra functional differential equations. (English) Zbl 1110.34056 J. Math. Anal. Appl. 324, No. 1, 696-706 (2006). Reviewer: Jozef Myjak (L’Aquila) MSC: 34K30 47H06 PDFBibTeX XMLCite \textit{L. Wen} and \textit{S. Li}, J. Math. Anal. Appl. 324, No. 1, 696--706 (2006; Zbl 1110.34056) Full Text: DOI
Wen, Liping; Yu, Yuexin; Li, Shoufu The test problem class of Volterra functional differential equations in Banach space. (English) Zbl 1118.65058 Appl. Math. Comput. 179, No. 1, 30-38 (2006). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65J15 34G20 34K30 65L05 PDFBibTeX XMLCite \textit{L. Wen} et al., Appl. Math. Comput. 179, No. 1, 30--38 (2006; Zbl 1118.65058) Full Text: DOI
Wen, Liping; Li, Shoufu Nonlinear stability of linear multistep methods for stiff delay differential equations in Banach spaces. (English) Zbl 1087.65059 Appl. Math. Comput. 168, No. 2, 1031-1044 (2005). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65J15 65L20 65L12 34G20 65L06 PDFBibTeX XMLCite \textit{L. Wen} and \textit{S. Li}, Appl. Math. Comput. 168, No. 2, 1031--1044 (2005; Zbl 1087.65059) Full Text: DOI