Singh, Bhagwan; Jangid, Komal; Mukhopadhyay, Santwana Implementation of Legendre wavelet method for the size dependent bending analysis of nano beam resonator under nonlocal strain gradient theory. (English) Zbl 07784329 Comput. Math. Appl. 153, 94-107 (2024). MSC: 74K10 74F05 74B99 74A20 74A15 PDFBibTeX XMLCite \textit{B. Singh} et al., Comput. Math. Appl. 153, 94--107 (2024; Zbl 07784329) Full Text: DOI
Sohrabi, S. Wavelets direct method for solving Volterra integral-algebraic equations. (English) Zbl 07789662 Afr. Mat. 34, No. 4, Paper No. 82, 16 p. (2023). MSC: 65R20 45F15 PDFBibTeX XMLCite \textit{S. Sohrabi}, Afr. Mat. 34, No. 4, Paper No. 82, 16 p. (2023; Zbl 07789662) Full Text: DOI
Jangid, Komal; Mukhopadhyay, Santwana Application of Legendre wavelet collocation method to the analysis of poro-thermoelastic coupling with variable thermal conductivity. (English) Zbl 07741319 Comput. Math. Appl. 146, 1-11 (2023). MSC: 74F05 65T60 80A20 65M70 74A15 PDFBibTeX XMLCite \textit{K. Jangid} and \textit{S. Mukhopadhyay}, Comput. Math. Appl. 146, 1--11 (2023; Zbl 07741319) Full Text: DOI
Hamid, Muhammad; Usman, Muhammad; Haq, Rizwan UI; Tian, Zhenfu; Wang, Wei Linearized stable spectral method to analyze two-dimensional nonlinear evolutionary and reaction-diffusion models. (English) Zbl 1527.65105 Numer. Methods Partial Differ. Equations 38, No. 2, 243-261 (2022). MSC: 65M70 65M12 35K57 PDFBibTeX XMLCite \textit{M. Hamid} et al., Numer. Methods Partial Differ. Equations 38, No. 2, 243--261 (2022; Zbl 1527.65105) Full Text: DOI
Kerrouche, Nacereddine; Kadem, Abdelouahab On Legendre wavelets for Poisson equation in the frame of complex solution. (English) Zbl 1516.65157 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 153-167 (2022). MSC: 65T60 31A30 35A25 PDFBibTeX XMLCite \textit{N. Kerrouche} and \textit{A. Kadem}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, 153--167 (2022; Zbl 1516.65157) Full Text: DOI
Singh, Inderdeep; Kaur, Manbir 2D-wavelets based efficient scheme for solving some PDEs. (English) Zbl 1513.65488 Adv. Differ. Equ. Control Process. 29, 27-45 (2022). MSC: 65N35 65T60 PDFBibTeX XMLCite \textit{I. Singh} and \textit{M. Kaur}, Adv. Differ. Equ. Control Process. 29, 27--45 (2022; Zbl 1513.65488) Full Text: DOI
Behera, S.; Ray, S. Saha A wavelet-based novel technique for linear and nonlinear fractional Volterra-Fredholm integro-differential equations. (English) Zbl 1499.65345 Comput. Appl. Math. 41, No. 2, Paper No. 77, 28 p. (2022). MSC: 65L60 26A33 65T60 PDFBibTeX XMLCite \textit{S. Behera} and \textit{S. S. Ray}, Comput. Appl. Math. 41, No. 2, Paper No. 77, 28 p. (2022; Zbl 1499.65345) Full Text: DOI
Darehmiraki, Majid; Rezazadeh, Arezou; Ahmadian, Ali An artificial neural network-based method for the optimal control problem governed by the fractional parabolic equation. (English) Zbl 07776072 Numer. Methods Partial Differ. Equations 37, No. 3, 2296-2316 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Darehmiraki} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2296--2316 (2021; Zbl 07776072) Full Text: DOI
Shen, Lijing; Zhu, Shuai; Liu, Bingcheng; Zhang, Zirui; Cui, Yuanda Numerical implementation of nonlinear system of fractional Volterra integral-differential equations by Legendre wavelet method and error estimation. (English) Zbl 07776017 Numer. Methods Partial Differ. Equations 37, No. 2, 1344-1360 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{L. Shen} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1344--1360 (2021; Zbl 07776017) Full Text: DOI
Soradi-Zeid, Samaneh Solving a class of fractional optimal control problems via a new efficient and accurate method. (English) Zbl 1499.49062 Comput. Methods Differ. Equ. 9, No. 2, 480-492 (2021). MSC: 49K05 49M41 PDFBibTeX XMLCite \textit{S. Soradi-Zeid}, Comput. Methods Differ. Equ. 9, No. 2, 480--492 (2021; Zbl 1499.49062) Full Text: DOI
Ajeel, M. Shareef; Gachpazan, M.; Soheili, Ali R. Sinc-Muntz-Legendre collocation method for solving a class of nonlinear fractional partial differential equations. (English) Zbl 07457147 Comput. Math. Math. Phys. 61, No. 12, 2024-2033 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. S. Ajeel} et al., Comput. Math. Math. Phys. 61, No. 12, 2024--2033 (2021; Zbl 07457147) Full Text: DOI
Lal, Shyam; Sharma, Priya R. Approximations of a function whose first and second derivatives belonging to generalized Hölder’s class by extended Legendre wavelet method and its applications in solutions of differential equations. (English) Zbl 1471.42075 Rend. Circ. Mat. Palermo (2) 70, No. 2, 959-993 (2021). Reviewer: Yuri A. Farkov (Moskva) MSC: 42C40 65T60 65L10 65L60 65R20 PDFBibTeX XMLCite \textit{S. Lal} and \textit{P. R. Sharma}, Rend. Circ. Mat. Palermo (2) 70, No. 2, 959--993 (2021; Zbl 1471.42075) Full Text: DOI
Lal, Shyam; Kumari, Priya Approximation of functions of Lipschitz class and solution of Fokker-Planck equation by two-dimensional Legendre wavelet operational matrix. (English) Zbl 1473.35573 J. Math. Chem. 59, No. 6, 1536-1550 (2021). MSC: 35Q84 42C40 65T60 35B20 60J65 35K05 PDFBibTeX XMLCite \textit{S. Lal} and \textit{P. Kumari}, J. Math. Chem. 59, No. 6, 1536--1550 (2021; Zbl 1473.35573) Full Text: DOI
Lal, Shyam; Priya Sharma, R. Approximation of function belonging to generalized Hölder’s class by first and second kind Chebyshev wavelets and their applications in the solutions of Abel’s integral equations. (English) Zbl 1464.42031 Arab. J. Math. 10, No. 1, 157-174 (2021). Reviewer: Gustaf Gripenberg (Aalto) MSC: 42C40 65T60 65L10 65L60 65R20 PDFBibTeX XMLCite \textit{S. Lal} and \textit{R. Priya Sharma}, Arab. J. Math. 10, No. 1, 157--174 (2021; Zbl 1464.42031) Full Text: DOI
Mohammad, Mutaz; Trounev, Alexander Implicit Riesz wavelets based-method for solving singular fractional integro-differential equations with applications to hematopoietic stem cell modeling. (English) Zbl 1490.65324 Chaos Solitons Fractals 138, Article ID 109991, 11 p. (2020). MSC: 65T60 42C40 41A15 26A33 41A30 92C37 PDFBibTeX XMLCite \textit{M. Mohammad} and \textit{A. Trounev}, Chaos Solitons Fractals 138, Article ID 109991, 11 p. (2020; Zbl 1490.65324) Full Text: DOI
Asl, E. Hengamian; Saberi-Nadjafi, J.; Gachpazan, M. 2D-fractional Muntz-Legendre polynomials for solving the fractional partial differential equations. (English) Zbl 1522.65181 Iran. J. Numer. Anal. Optim. 10, No. 2, 1-31 (2020). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{E. H. Asl} et al., Iran. J. Numer. Anal. Optim. 10, No. 2, 1--31 (2020; Zbl 1522.65181) Full Text: DOI
Kumar, K. Harish; Jiwari, Ram Legendre wavelets based numerical algorithm for simulation of multidimensional Benjamin-Bona-Mahony-Burgers and Sobolev equations. (English) Zbl 1446.65129 Comput. Math. Appl. 80, No. 3, 417-433 (2020). MSC: 65M70 65T60 35Q53 PDFBibTeX XMLCite \textit{K. H. Kumar} and \textit{R. Jiwari}, Comput. Math. Appl. 80, No. 3, 417--433 (2020; Zbl 1446.65129) Full Text: DOI
Shekarpaz, Simin; Parand, Kourosh; Azari, Hossein The Legendre wavelet method for solving the steady flow of a third-grade fluid in a porous half space. (English) Zbl 07098972 S\(\vec{\text{e}}\)MA J. 76, No. 3, 495-503 (2019). MSC: 65T60 34B15 34B40 PDFBibTeX XMLCite \textit{S. Shekarpaz} et al., S\(\vec{\text{e}}\)MA J. 76, No. 3, 495--503 (2019; Zbl 07098972) Full Text: DOI
Groza, Ghiocel; Razzaghi, Mohsen Approximation of solutions of polynomial partial differential equations in two independent variables. (English) Zbl 1403.35018 J. Comput. Appl. Math. 346, 205-223 (2019). MSC: 35A35 35G20 41A10 41A58 PDFBibTeX XMLCite \textit{G. Groza} and \textit{M. Razzaghi}, J. Comput. Appl. Math. 346, 205--223 (2019; Zbl 1403.35018) Full Text: DOI
Mohammadi, Fakhrodin An efficient fractional-order wavelet method for fractional Volterra integro-differential equations. (English) Zbl 1499.65285 Int. J. Comput. Math. 95, No. 12, 2396-2418 (2018). MSC: 65L05 26A33 34K37 45J05 65T60 PDFBibTeX XMLCite \textit{F. Mohammadi}, Int. J. Comput. Math. 95, No. 12, 2396--2418 (2018; Zbl 1499.65285) Full Text: DOI
Xu, Xiaoyong; Xu, Da Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions. (English) Zbl 1513.65241 Int. J. Comput. Math. 95, No. 5, 998-1014 (2018). MSC: 65L10 34A08 34B10 PDFBibTeX XMLCite \textit{X. Xu} and \textit{D. Xu}, Int. J. Comput. Math. 95, No. 5, 998--1014 (2018; Zbl 1513.65241) Full Text: DOI
Lal, Shyam; Kumari, Priya Approximation of a function \(f\) of generalized Lipschitz class by its extended Legendre wavelet series. (English) Zbl 1412.42092 Int. J. Appl. Comput. Math. 4, No. 6, Paper No. 147, 22 p. (2018). Reviewer: Lucian Coroianu (Oradea) MSC: 42C40 65T60 65L10 65L60 65R20 PDFBibTeX XMLCite \textit{S. Lal} and \textit{P. Kumari}, Int. J. Appl. Comput. Math. 4, No. 6, Paper No. 147, 22 p. (2018; Zbl 1412.42092) Full Text: DOI
Xu, Xiaoyong; Xu, Da A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method. (English) Zbl 1402.35292 Comput. Appl. Math. 37, No. 4, 4145-4168 (2018). MSC: 35R09 35R11 PDFBibTeX XMLCite \textit{X. Xu} and \textit{D. Xu}, Comput. Appl. Math. 37, No. 4, 4145--4168 (2018; Zbl 1402.35292) Full Text: DOI
Heydari, Mohammad Hossein; Avazzadeh, Zakieh Legendre wavelets optimization method for variable-order fractional Poisson equation. (English) Zbl 1398.65316 Chaos Solitons Fractals 112, 180-190 (2018). MSC: 65N35 35R11 65K10 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{Z. Avazzadeh}, Chaos Solitons Fractals 112, 180--190 (2018; Zbl 1398.65316) Full Text: DOI
Venkatesh, S. G.; Balachandar, S. Raja; Ayyaswamy, S. K.; Krishnaveni, K. An efficient approach for solving Klein-Gordon equation arising in quantum field theory using wavelets. (English) Zbl 1395.65109 Comput. Appl. Math. 37, No. 1, 81-98 (2018). MSC: 65M70 35L71 35A20 35D30 35L20 65T60 81Q05 PDFBibTeX XMLCite \textit{S. G. Venkatesh} et al., Comput. Appl. Math. 37, No. 1, 81--98 (2018; Zbl 1395.65109) Full Text: DOI
Mohammadi, Fakhrodin; Cattani, Carlo A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations. (English) Zbl 1464.65079 J. Comput. Appl. Math. 339, 306-316 (2018). MSC: 65L60 34A08 34K37 65L20 65L70 65T60 PDFBibTeX XMLCite \textit{F. Mohammadi} and \textit{C. Cattani}, J. Comput. Appl. Math. 339, 306--316 (2018; Zbl 1464.65079) Full Text: DOI
Xu, Xiaoyong; Xu, Da Legendre wavelets direct method for the numerical solution of time-fractional order telegraph equations. (English) Zbl 1453.65369 Mediterr. J. Math. 15, No. 1, Paper No. 27, 33 p. (2018). MSC: 65M70 35R11 65T60 65M12 65M15 PDFBibTeX XMLCite \textit{X. Xu} and \textit{D. Xu}, Mediterr. J. Math. 15, No. 1, Paper No. 27, 33 p. (2018; Zbl 1453.65369) Full Text: DOI
Saha Ray, S.; Gupta, A. K. Two-dimensional Legendre wavelet method for travelling wave solutions of time-fractional generalized seventh order KdV equation. (English) Zbl 1412.65166 Comput. Math. Appl. 73, No. 6, 1118-1133 (2017). MSC: 65M70 65T60 35Q53 35R11 65M99 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{A. K. Gupta}, Comput. Math. Appl. 73, No. 6, 1118--1133 (2017; Zbl 1412.65166) Full Text: DOI
Sahu, P. K.; Saha Ray, S. A new Bernoulli wavelet method for numerical solutions of nonlinear weakly singular Volterra integro-differential equations. (English) Zbl 1404.65332 Int. J. Comput. Methods 14, No. 3, Article ID 1750022, 11 p. (2017). MSC: 65R20 65T60 45D05 45J05 PDFBibTeX XMLCite \textit{P. K. Sahu} and \textit{S. Saha Ray}, Int. J. Comput. Methods 14, No. 3, Article ID 1750022, 11 p. (2017; Zbl 1404.65332) Full Text: DOI
Huang, Qingxue; Zhao, Fuqiang; Xie, Jiaquan; Ma, Lifeng; Wang, Jianmei; Li, Yugui Numerical approach based on two-dimensional fractional-order Legendre functions for solving fractional differential equations. (English) Zbl 1371.65071 Discrete Dyn. Nat. Soc. 2017, Article ID 8630895, 12 p. (2017). MSC: 65L60 65L05 34A08 65L70 PDFBibTeX XMLCite \textit{Q. Huang} et al., Discrete Dyn. Nat. Soc. 2017, Article ID 8630895, 12 p. (2017; Zbl 1371.65071) Full Text: DOI
Sahu, P. K.; Saha Ray, S. A new Bernoulli wavelet method for accurate solutions of nonlinear fuzzy Hammerstein-Volterra delay integral equations. (English) Zbl 1370.65082 Fuzzy Sets Syst. 309, 131-144 (2017). MSC: 65R20 45D05 45G10 26E50 65T60 92D30 PDFBibTeX XMLCite \textit{P. K. Sahu} and \textit{S. Saha Ray}, Fuzzy Sets Syst. 309, 131--144 (2017; Zbl 1370.65082) Full Text: DOI
Mohammadi, Fakhrodin Second kind Chebyshev wavelet Galerkin method for stochastic Itô-Volterra integral equations. (English) Zbl 1359.65015 Mediterr. J. Math. 13, No. 5, 2613-2631 (2016). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 65T60 60H20 60H35 45R05 PDFBibTeX XMLCite \textit{F. Mohammadi}, Mediterr. J. Math. 13, No. 5, 2613--2631 (2016; Zbl 1359.65015) Full Text: DOI
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Marji, M. Fatehi; Dehghan, R.; Memarian, M. H. A new wavelet method for solving the Helmholtz equation with complex solution. (English) Zbl 1350.65125 Numer. Methods Partial Differ. Equations 32, No. 3, 741-756 (2016). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N30 35J05 65T60 65E05 65N12 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Numer. Methods Partial Differ. Equations 32, No. 3, 741--756 (2016; Zbl 1350.65125) Full Text: DOI
Antony Vijesh, V.; Harish Kumar, K. Wavelet based quasilinearization method for semi-linear parabolic initial boundary value problems. (English) Zbl 1410.65515 Appl. Math. Comput. 266, 1163-1176 (2015); erratum ibid 314, 484 (2017). MSC: 65T60 65M70 42C40 35K20 35K91 PDFBibTeX XMLCite \textit{V. Antony Vijesh} and \textit{K. Harish Kumar}, Appl. Math. Comput. 266, 1163--1176 (2015; Zbl 1410.65515) Full Text: DOI
Yang, Yongqiang; Ma, Yunpeng; Wang, Lifeng Legendre polynomials operational matrix method for solving fractional partial differential equations with variable coefficients. (English) Zbl 1394.65114 Math. Probl. Eng. 2015, Article ID 915195, 9 p. (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{Y. Yang} et al., Math. Probl. Eng. 2015, Article ID 915195, 9 p. (2015; Zbl 1394.65114) Full Text: DOI
Yuksel, Gamze; Isik, Osman Rasit; Sezer, Mehmet Error analysis of the Chebyshev collocation method for linear second-order partial differential equations. (English) Zbl 1325.65141 Int. J. Comput. Math. 92, No. 10, 2121-2138 (2015). MSC: 65M70 35G05 PDFBibTeX XMLCite \textit{G. Yuksel} et al., Int. J. Comput. Math. 92, No. 10, 2121--2138 (2015; Zbl 1325.65141) Full Text: DOI
Chen, Yi-Ming; Wei, Yan-Qiao; Liu, Da-Yan; Yu, Hao Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets. (English) Zbl 1329.65172 Appl. Math. Lett. 46, 83-88 (2015). MSC: 65L60 34A08 65T60 PDFBibTeX XMLCite \textit{Y.-M. Chen} et al., Appl. Math. Lett. 46, 83--88 (2015; Zbl 1329.65172) Full Text: DOI
Meng, Zhijun; Wang, Lifeng; Li, Hao; Zhang, Wei Legendre wavelets method for solving fractional integro-differential equations. (English) Zbl 1315.65111 Int. J. Comput. Math. 92, No. 6, 1275-1291 (2015). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 26A33 45J05 65T60 PDFBibTeX XMLCite \textit{Z. Meng} et al., Int. J. Comput. Math. 92, No. 6, 1275--1291 (2015; Zbl 1315.65111) Full Text: DOI
Yin, Fukang; Tian, Tian; Song, Junqiang; Zhu, Min Spectral methods using Legendre wavelets for nonlinear Klein/sine-Gordon equations. (English) Zbl 1334.65175 J. Comput. Appl. Math. 275, 321-334 (2015). MSC: 65M70 65T60 PDFBibTeX XMLCite \textit{F. Yin} et al., J. Comput. Appl. Math. 275, 321--334 (2015; Zbl 1334.65175) Full Text: DOI
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F. Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions. (English) Zbl 1298.65181 Appl. Math. Comput. 234, 267-276 (2014). MSC: 65N35 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Appl. Math. Comput. 234, 267--276 (2014; Zbl 1298.65181) Full Text: DOI
Yin, Fukang; Song, Junqiang; Lu, Fengshun A coupled method of Laplace transform and Legendre wavelets for nonlinear Klein-Gordon equations. (English) Zbl 1291.65396 Math. Methods Appl. Sci. 37, No. 6, 781-792 (2014). MSC: 65T60 42C40 35Q40 PDFBibTeX XMLCite \textit{F. Yin} et al., Math. Methods Appl. Sci. 37, No. 6, 781--792 (2014; Zbl 1291.65396) Full Text: DOI
Isik, Osman Rasit; Sezer, Mehmet; Guney, Zekeriya Bernstein series solution of linear second-order partial differential equations with mixed conditions. (English) Zbl 1291.65350 Math. Methods Appl. Sci. 37, No. 5, 609-619 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65N35 35J25 65N15 PDFBibTeX XMLCite \textit{O. R. Isik} et al., Math. Methods Appl. Sci. 37, No. 5, 609--619 (2014; Zbl 1291.65350) Full Text: DOI
Groza, Ghiocel; Razzaghi, Mohsen A Taylor series method for the solution of the linear initial-boundary-value problems for partial differential equations. (English) Zbl 1350.65110 Comput. Math. Appl. 66, No. 7, 1329-1343 (2013). MSC: 65M99 35K20 35L20 35C10 PDFBibTeX XMLCite \textit{G. Groza} and \textit{M. Razzaghi}, Comput. Math. Appl. 66, No. 7, 1329--1343 (2013; Zbl 1350.65110) Full Text: DOI
Yin, Fukang; Song, Junqiang; Wu, Yongwen; Zhang, Lilun Numerical solution of the fractional partial differential equations by the two-dimensional fractional-order Legendre functions. (English) Zbl 1291.65310 Abstr. Appl. Anal. 2013, Article ID 562140, 13 p. (2013). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{F. Yin} et al., Abstr. Appl. Anal. 2013, Article ID 562140, 13 p. (2013; Zbl 1291.65310) Full Text: DOI
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Fereidouni, F. Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions. (English) Zbl 1287.65113 Eng. Anal. Bound. Elem. 37, No. 11, 1331-1338 (2013). MSC: 65N35 65T60 35R11 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Eng. Anal. Bound. Elem. 37, No. 11, 1331--1338 (2013; Zbl 1287.65113) Full Text: DOI