Mary, S. Joe Christin; Tamilselvan, Ayyadurai Numerical method for a system of Caputo fractional differential equations with non-local boundary conditions. (English) Zbl 07741884 Commun. Korean Math. Soc. 38, No. 1, 281-298 (2023). MSC: 65-XX 34A08 34B10 65L12 65L20 PDFBibTeX XMLCite \textit{S. J. C. Mary} and \textit{A. Tamilselvan}, Commun. Korean Math. Soc. 38, No. 1, 281--298 (2023; Zbl 07741884) Full Text: DOI
Mariappan, Manikandan; Tamilselvan, Ayyadurai Higher order computational method for a singularly perturbed nonlinear system of differential equations. (English) Zbl 1486.65082 J. Appl. Math. Comput. 68, No. 2, 1351-1363 (2022). MSC: 65L11 65L12 65L20 65L70 PDFBibTeX XMLCite \textit{M. Mariappan} and \textit{A. Tamilselvan}, J. Appl. Math. Comput. 68, No. 2, 1351--1363 (2022; Zbl 1486.65082) Full Text: DOI
Mariappan, Manikandan; Tamilselvan, Ayyadurai An efficient numerical method for a nonlinear system of singularly perturbed differential equations arising in a two-time scale system. (English) Zbl 1486.65081 J. Appl. Math. Comput. 68, No. 2, 1069-1086 (2022). MSC: 65L11 65L12 65L20 65L70 PDFBibTeX XMLCite \textit{M. Mariappan} and \textit{A. Tamilselvan}, J. Appl. Math. Comput. 68, No. 2, 1069--1086 (2022; Zbl 1486.65081) Full Text: DOI
Elango, Sekar; Tamilselvan, Ayyadurai; Vadivel, R.; Gunasekaran, Nallappan; Zhu, Haitao; Cao, Jinde; Li, Xiaodi Finite difference scheme for singularly perturbed reaction diffusion problem of partial delay differential equation with nonlocal boundary condition. (English) Zbl 1494.65069 Adv. Difference Equ. 2021, Paper No. 151, 20 p. (2021). MSC: 65M06 65M12 35K20 35K15 PDFBibTeX XMLCite \textit{S. Elango} et al., Adv. Difference Equ. 2021, Paper No. 151, 20 p. (2021; Zbl 1494.65069) Full Text: DOI
Mary, S. Joe Christin; Tamilselvan, Ayyadurai Numerical method for a non-local boundary value problem with Caputo fractional order. (English) Zbl 1487.65095 J. Appl. Math. Comput. 67, No. 1-2, 671-687 (2021). MSC: 65L12 34A08 34B10 PDFBibTeX XMLCite \textit{S. J. C. Mary} and \textit{A. Tamilselvan}, J. Appl. Math. Comput. 67, No. 1--2, 671--687 (2021; Zbl 1487.65095) Full Text: DOI
Jayalakshmi, Govindarajan Janani; Tamilselvan, Ayyadurai Second order difference scheme for singularly perturbed boundary turning point problems. (English) Zbl 1499.65320 J. Math. Model. 9, No. 4, 633-643 (2021). MSC: 65L10 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{G. J. Jayalakshmi} and \textit{A. Tamilselvan}, J. Math. Model. 9, No. 4, 633--643 (2021; Zbl 1499.65320) Full Text: DOI
Mariappan, Manikandan; Tamilselvan, Ayyadurai Higher order numerical method for a semilinear system of singularly perturbed differential equations. (English) Zbl 07368171 Math. Commun. 26, No. 1, 41-52 (2021). MSC: 65L11 65L12 65L20 65L70 PDFBibTeX XMLCite \textit{M. Mariappan} and \textit{A. Tamilselvan}, Math. Commun. 26, No. 1, 41--52 (2021; Zbl 07368171) Full Text: Link
Roja, J. Christy; Tamilselvan, Ayyadurai An overlapping Schwarz method for singularly perturbed fourth-order convection-diffusion type. (English) Zbl 1476.65149 Math. Model. Anal. 25, No. 4, 661-679 (2020). MSC: 65L11 34E15 PDFBibTeX XMLCite \textit{J. C. Roja} and \textit{A. Tamilselvan}, Math. Model. Anal. 25, No. 4, 661--679 (2020; Zbl 1476.65149) Full Text: DOI
Janani Jayalakshmi, G.; Tamilselvan, Ayyadurai Comparative study on difference schemes for singularly perturbed boundary turning point problems with Robin boundary conditions. (English) Zbl 1475.65056 J. Appl. Math. Comput. 62, No. 1-2, 341-360 (2020). MSC: 65L10 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{G. Janani Jayalakshmi} and \textit{A. Tamilselvan}, J. Appl. Math. Comput. 62, No. 1--2, 341--360 (2020; Zbl 1475.65056) Full Text: DOI
Roja, J. Christy; Tamilselvan, A. An overlapping numerical method for a partially singularly perturbed initial value problem. (English) Zbl 1441.34024 Comput. Math. Model. 31, No. 2, 135-142 (2020). MSC: 34A30 34D15 34A12 PDFBibTeX XMLCite \textit{J. C. Roja} and \textit{A. Tamilselvan}, Comput. Math. Model. 31, No. 2, 135--142 (2020; Zbl 1441.34024) Full Text: DOI
Janani Jayalakshmi, G.; Tamilselvan, A. An \(\varepsilon \)-uniform method for a class of singularly perturbed parabolic problems with Robin boundary conditions having boundary turning point. (English) Zbl 1434.65216 Asian-Eur. J. Math. 13, No. 1, Article ID 2050025, 15 p. (2020). MSC: 65N06 65N12 65N15 35K67 35B25 PDFBibTeX XMLCite \textit{G. Janani Jayalakshmi} and \textit{A. Tamilselvan}, Asian-Eur. J. Math. 13, No. 1, Article ID 2050025, 15 p. (2020; Zbl 1434.65216) Full Text: DOI
Geetha, N.; Tamilselvan, A. Robust numerical method for singularly perturbed turning point problems with Robin type boundary conditions. (English) Zbl 1438.65156 J. Appl. Math. Inform. 37, No. 3-4, 183-200 (2019). MSC: 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{N. Geetha} and \textit{A. Tamilselvan}, J. Appl. Math. Inform. 37, No. 3--4, 183--200 (2019; Zbl 1438.65156) Full Text: DOI
Sekar, Elango; Tamilselvan, Ayyadurai Finite difference scheme for third order singularly perturbed delay differential equation of convection diffusion type with integral boundary condition. (English) Zbl 1427.65128 J. Appl. Math. Comput. 61, No. 1-2, 73-86 (2019). MSC: 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{E. Sekar} and \textit{A. Tamilselvan}, J. Appl. Math. Comput. 61, No. 1--2, 73--86 (2019; Zbl 1427.65128) Full Text: DOI
Raja, Velusamy; Tamilselvan, Ayyadurai Numerical method for a system of singularly perturbed convection diffusion equations with integral boundary conditions. (English) Zbl 1425.65082 Commun. Korean Math. Soc. 34, No. 3, 1015-1027 (2019). MSC: 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{V. Raja} and \textit{A. Tamilselvan}, Commun. Korean Math. Soc. 34, No. 3, 1015--1027 (2019; Zbl 1425.65082) Full Text: DOI
Sekar, E.; Tamilselvan, A. Singularly perturbed delay differential equations of convection-diffusion type with integral boundary condition. (English) Zbl 1418.65089 J. Appl. Math. Comput. 59, No. 1-2, 701-722 (2019). MSC: 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{E. Sekar} and \textit{A. Tamilselvan}, J. Appl. Math. Comput. 59, No. 1--2, 701--722 (2019; Zbl 1418.65089) Full Text: DOI
Raja, Velusamy; Tamilselvan, Ayyadurai Fitted finite difference method for third order singularly perturbed convection diffusion equations with integral boundary condition. (English) Zbl 1438.65159 Arab J. Math. Sci. 25, No. 2, 231-242 (2019). MSC: 65L11 65L12 65L20 65L70 PDFBibTeX XMLCite \textit{V. Raja} and \textit{A. Tamilselvan}, Arab J. Math. Sci. 25, No. 2, 231--242 (2019; Zbl 1438.65159) Full Text: DOI
Janani Jayalakshmi, G.; Tamilselvan, A. Hybrid difference scheme for singularly perturbed convection diffusion boundary turning point problems with discontinuous source term. (English) Zbl 1416.65218 Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 88, 14 p. (2019). MSC: 65L11 65L10 34B05 65L12 65L20 PDFBibTeX XMLCite \textit{G. Janani Jayalakshmi} and \textit{A. Tamilselvan}, Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 88, 14 p. (2019; Zbl 1416.65218) Full Text: DOI
Sekar, Elango; Tamilselvan, Ayyadurai Parameter uniform method for a singularly perturbed system of delay differential equations of reaction-diffusion type with integral boundary conditions. (English) Zbl 1416.65181 Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 85, 12 p. (2019). MSC: 65L03 65L11 65L12 65L20 65L70 PDFBibTeX XMLCite \textit{E. Sekar} and \textit{A. Tamilselvan}, Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 85, 12 p. (2019; Zbl 1416.65181) Full Text: DOI
Raja, Velusamy; Tamilselvan, Ayyadurai Numerical method for a system of singularly perturbed reaction diffusion equations with integral boundary conditions. (English) Zbl 1418.65087 Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 77, 12 p. (2019). MSC: 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{V. Raja} and \textit{A. Tamilselvan}, Int. J. Appl. Comput. Math. 5, No. 3, Paper No. 77, 12 p. (2019; Zbl 1418.65087) Full Text: DOI
Sekar, E.; Tamilselvan, A. Finite difference scheme for singularly perturbed system of delay differential equations with integral boundary conditions. (English) Zbl 1411.65097 J. Korean Soc. Ind. Appl. Math. 22, No. 3, 201-215 (2018). MSC: 65L11 34K26 65L12 PDFBibTeX XMLCite \textit{E. Sekar} and \textit{A. Tamilselvan}, J. Korean Soc. Ind. Appl. Math. 22, No. 3, 201--215 (2018; Zbl 1411.65097)
Roja, J. Christy; Tamilselvan, A. Schwarz method for singularly perturbed second order convection-diffusion equations. (English) Zbl 1403.65031 J. Appl. Math. Inform. 36, No. 3-4, 181-203 (2018). MSC: 65L11 65L10 65L12 PDFBibTeX XMLCite \textit{J. C. Roja} and \textit{A. Tamilselvan}, J. Appl. Math. Inform. 36, No. 3--4, 181--203 (2018; Zbl 1403.65031) Full Text: DOI
Roja, J. Christy; Tamilselvan, A. An overlapping Schwarz method for singularly perturbed third order convection-diffusion type. (English) Zbl 1403.65032 J. Appl. Math. Inform. 36, No. 1-2, 135-154 (2018). MSC: 65L12 65L10 65L11 PDFBibTeX XMLCite \textit{J. C. Roja} and \textit{A. Tamilselvan}, J. Appl. Math. Inform. 36, No. 1--2, 135--154 (2018; Zbl 1403.65032) Full Text: DOI
Geetha, N.; Tamilselvan, A. Variable mesh spline approximation method for solving second order singularly perturbed turning point problems with Robin boundary conditions. (English) Zbl 1397.65109 Int. J. Appl. Comput. Math. 3, No. 2, 891-903 (2017). MSC: 65L10 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{N. Geetha} and \textit{A. Tamilselvan}, Int. J. Appl. Comput. Math. 3, No. 2, 891--903 (2017; Zbl 1397.65109) Full Text: DOI
Geetha, N.; Tamilselvan, A.; Subburayan, V. Parameter uniform numerical method for third order singularly perturbed turning point problems exhibiting boundary layers. (English) Zbl 1456.65054 Int. J. Appl. Comput. Math. 2, No. 3, 349-364 (2016). MSC: 65L11 65L12 65L50 PDFBibTeX XMLCite \textit{N. Geetha} et al., Int. J. Appl. Comput. Math. 2, No. 3, 349--364 (2016; Zbl 1456.65054) Full Text: DOI
Geetha, Neelamegam; Tamilselvan, Ayyadurai; Roja, Joseph Stalin Christy Numerical method for a system of second order singularly perturbed turning point problems. (English) Zbl 1355.65102 J. Math. Model. 4, No. 2, 211-232 (2016). MSC: 65L10 65L11 65L12 65L20 65L50 65L70 34B15 34E15 PDFBibTeX XMLCite \textit{N. Geetha} et al., J. Math. Model. 4, No. 2, 211--232 (2016; Zbl 1355.65102) Full Text: Link
Christy Roja, Joseph Stalin; Tamilselvan, Ayyadurai Numerical method for singularly perturbed fourth order ordinary differential equations of convection-diffusion type. (English) Zbl 1347.65126 J. Math. Model. 4, No. 1, 79-102 (2016). MSC: 65L10 PDFBibTeX XMLCite \textit{J. S. Christy Roja} and \textit{A. Tamilselvan}, J. Math. Model. 4, No. 1, 79--102 (2016; Zbl 1347.65126) Full Text: Link
Roja, J. Christy; Tamilselvan, A. A numerical method for singularly perturbed third order ordinary differential equations of convection-diffusion type. (English) Zbl 1324.65107 Numer. Math., Theory Methods Appl. 7, No. 3, 265-287 (2014). MSC: 65L11 65L10 34B15 34E15 34E05 65L12 65L70 65Y05 PDFBibTeX XMLCite \textit{J. C. Roja} and \textit{A. Tamilselvan}, Numer. Math., Theory Methods Appl. 7, No. 3, 265--287 (2014; Zbl 1324.65107) Full Text: DOI
Roja, J. Christy; Tamilselvan, A. Shooting method for singularly perturbed fourth-order ordinary differential equations of reaction-diffusion type. (English) Zbl 1359.65125 Int. J. Comput. Methods 10, No. 6, Article ID 1350041, 21 p. (2013). MSC: 65L11 65L10 65L12 PDFBibTeX XMLCite \textit{J. C. Roja} and \textit{A. Tamilselvan}, Int. J. Comput. Methods 10, No. 6, Article ID 1350041, 21 p. (2013; Zbl 1359.65125) Full Text: DOI
Tamilselvan, A.; Ramanujam, N. An almost-second-order method for a system of singularly perturbed convection-diffusion equations with nonsmooth convection coefficients and source terms. (English) Zbl 1267.76077 Int. J. Comput. Methods 7, No. 2 (2010). MSC: 76M20 76R99 65L10 PDFBibTeX XML Full Text: DOI
Tamilselvan, A.; Ramanujam, N.; Shanthi, V. A numerical method for singularly perturbed weakly coupled system of two second order ordinary differential equations with discontinuous source term. (English) Zbl 1115.65086 J. Comput. Appl. Math. 202, No. 2, 203-216 (2007). Reviewer: Srinivasan Natesan (Assam) MSC: 65L10 34B15 34E15 65L12 65L20 65L50 65L70 PDFBibTeX XMLCite \textit{A. Tamilselvan} et al., J. Comput. Appl. Math. 202, No. 2, 203--216 (2007; Zbl 1115.65086) Full Text: DOI