Singh, Raghvendra Pratap; Reddy, Y. N. Numerical solution of differential difference equations having boundary layers at both the ends. (English) Zbl 1502.65045 Appl. Appl. Math. 17, No. 1, 212-226 (2022). MSC: 65L11 65Q10 PDFBibTeX XMLCite \textit{R. P. Singh} and \textit{Y. N. Reddy}, Appl. Appl. Math. 17, No. 1, 212--226 (2022; Zbl 1502.65045) Full Text: Link
Adilaxmi, M.; Bhargavi, D.; Reddy, Y. N. An initial value technique using exponentially fitted non standard finite difference method for singularly perturbed differential-difference equations. (English) Zbl 1418.65085 Appl. Appl. Math. 14, No. 1, 245-269 (2019). MSC: 65L11 65Q10 PDFBibTeX XMLCite \textit{M. Adilaxmi} et al., Appl. Appl. Math. 14, No. 1, 245--269 (2019; Zbl 1418.65085) Full Text: Link
Swamy, Diddi Kumara; Phaneendra, Kolloju; Reddy, Y. N. Accurate numerical method for singularly perturbed differential-difference equations with mixed shifts. (English) Zbl 1412.65057 Khayyam J. Math. 4, No. 2, 110-122 (2018). MSC: 65L11 65L12 PDFBibTeX XMLCite \textit{D. K. Swamy} et al., Khayyam J. Math. 4, No. 2, 110--122 (2018; Zbl 1412.65057) Full Text: DOI
Challa, Lakshmi Sirisha; Reddy, Yanala Narsimha Numerical integration of singularly perturbed delay differential equations using exponential integrating factor. (English) Zbl 1383.65070 Math. Commun. 22, No. 2, 251-264 (2017). MSC: 65L03 34K26 34K28 34K40 65L11 65L12 65L20 PDFBibTeX XMLCite \textit{L. S. Challa} and \textit{Y. N. Reddy}, Math. Commun. 22, No. 2, 251--264 (2017; Zbl 1383.65070) Full Text: Link
Kumara Swamy, D.; Phaneendra, K.; Reddy, Y. N. Solution of singularly perturbed differential-difference equations with mixed shifts using Galerkin method with exponential fitting. (English) Zbl 1362.65082 Chin. J. Math. (New York) 2016, Article ID 1935853, 10 p. (2016). MSC: 65L60 34K26 34K28 65L03 65L11 65L20 PDFBibTeX XMLCite \textit{D. Kumara Swamy} et al., Chin. J. Math. (New York) 2016, Article ID 1935853, 10 p. (2016; Zbl 1362.65082) Full Text: DOI
Phaneendra, K.; Soujanya, G. B. S. L.; Reddy, Y. N. Numerical solution of second order singularly perturbed differential-difference equation with negative shift. (English) Zbl 1396.65118 Int. J. Nonlinear Sci. 18, No. 3, 200-209 (2014). MSC: 65L12 65L10 65L11 65L20 65L03 PDFBibTeX XMLCite \textit{K. Phaneendra} et al., Int. J. Nonlinear Sci. 18, No. 3, 200--209 (2014; Zbl 1396.65118)
File, Gemechis; Reddy, Y. N. A non-asymptotic method for singularly perturbed delay differential equations. (English) Zbl 1286.65083 J. Appl. Math. Inform. 32, No. 1-2, 39-53 (2014). MSC: 65L03 65L11 34K26 65L10 PDFBibTeX XMLCite \textit{G. File} and \textit{Y. N. Reddy}, J. Appl. Math. Inform. 32, No. 1--2, 39--53 (2014; Zbl 1286.65083) Full Text: DOI
Phaneendra, K.; Soujanya, Gbsl.; Reddy, Y. N. Numerical integration method for singular perturbation delay differential equations with layer or oscillatory behaviour. (English) Zbl 06496582 Appl. Comput. Math. 12, No. 2, 211-221 (2013). MSC: 65L11 PDFBibTeX XMLCite \textit{K. Phaneendra} et al., Appl. Comput. Math. 12, No. 2, 211--221 (2013; Zbl 06496582) Full Text: Link
Andargie, Awoke; Reddy, Y. N. Solving singularly perturbed differential difference equations via fitted method. (English) Zbl 1271.34076 Appl. Appl. Math. 8, No. 1, 318-332 (2013). MSC: 34K28 34K26 65L10 65L11 34K10 PDFBibTeX XMLCite \textit{A. Andargie} and \textit{Y. N. Reddy}, Appl. Appl. Math. 8, No. 1, 318--332 (2013; Zbl 1271.34076) Full Text: Link
Reddy, Y. N.; Prasad, H. S. Differential quadrature method for the general singular perturbation problems. (English) Zbl 1266.65136 Int. J. Math. Sci. Appl. 1, No. 2, 975-999 (2011). MSC: 65L11 34E15 PDFBibTeX XMLCite \textit{Y. N. Reddy} and \textit{H. S. Prasad}, Int. J. Math. Sci. Appl. 1, No. 2, 975--999 (2011; Zbl 1266.65136)
Andargie, Awoke; Reddy, Y. N. The method of asymptotic inner boundary condition for singular perturbation problems. (English) Zbl 1402.65069 J. Appl. Math. Inform. 29, No. 3-4, 937-948 (2011). MSC: 65L10 65L11 PDFBibTeX XMLCite \textit{A. Andargie} and \textit{Y. N. Reddy}, J. Appl. Math. Inform. 29, No. 3--4, 937--948 (2011; Zbl 1402.65069)
Andargie, Awoke; Reddy, Y. N. Terminal boundary condition for singularly perturbed two-point boundary value problems. (English) Zbl 1182.65120 Neural Parallel Sci. Comput. 16, No. 3, 435-448 (2008). MSC: 65L10 PDFBibTeX XMLCite \textit{A. Andargie} and \textit{Y. N. Reddy}, Neural Parallel Sci. Comput. 16, No. 3, 435--448 (2008; Zbl 1182.65120)
Andargie, Awoke; Reddy, Y. N. Fitted fourth-order tridiagonal finite difference method for singular perturbation problems. (English) Zbl 1193.65125 Appl. Math. Comput. 192, No. 1, 90-100 (2007). MSC: 65L10 65L12 PDFBibTeX XMLCite \textit{A. Andargie} and \textit{Y. N. Reddy}, Appl. Math. Comput. 192, No. 1, 90--100 (2007; Zbl 1193.65125) Full Text: DOI
Chakravarthy, P. Pramod; Reddy, Y. N. A cutting point technique for singular perturbation problems. (English) Zbl 1172.65367 J. Math. Control Sci Appl. (JMCSA) 1, No. 1, 39-59 (2007). MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{P. P. Chakravarthy} and \textit{Y. N. Reddy}, J. Math. Control Sci Appl. (JMCSA) 1, No. 1, 39--59 (2007; Zbl 1172.65367)
Chakravarthy, P. Pramod; Reddy, Y. N. A pair of independent initial value problems for singularly perturbed two-point boundary value problems. (English) Zbl 1148.65061 Int. J. Sci. Comput. 1, No. 2, 123-143 (2007). MSC: 65L10 34B05 34B15 34E15 PDFBibTeX XMLCite \textit{P. P. Chakravarthy} and \textit{Y. N. Reddy}, Int. J. Sci. Comput. 1, No. 2, 123--143 (2007; Zbl 1148.65061)
Awoke, Andargie; Reddy, Y. N. An exponentially fitted special second-order finite difference method for solving singular perturbation problems. (English) Zbl 1122.65377 Appl. Math. Comput. 190, No. 2, 1767-1782 (2007). MSC: 65L12 34B05 34E15 34B15 65L10 65L20 PDFBibTeX XMLCite \textit{A. Awoke} and \textit{Y. N. Reddy}, Appl. Math. Comput. 190, No. 2, 1767--1782 (2007; Zbl 1122.65377) Full Text: DOI
Chakravarthy, P. Pramod; Phaneendra, K.; Reddy, Y. N. A seventh order numerical method for singular perturbation problems. (English) Zbl 1114.65088 Appl. Math. Comput. 186, No. 1, 860-871 (2007). MSC: 65L10 34B05 34E15 65L12 65L70 PDFBibTeX XMLCite \textit{P. P. Chakravarthy} et al., Appl. Math. Comput. 186, No. 1, 860--871 (2007; Zbl 1114.65088) Full Text: DOI
Ravi Kanth, A. S. V.; Reddy, Y. N. Cubic spline for a class of singular two-point boundary value problems. (English) Zbl 1103.65086 Appl. Math. Comput. 170, No. 2, 733-740 (2005). MSC: 65L10 PDFBibTeX XMLCite \textit{A. S. V. Ravi Kanth} and \textit{Y. N. Reddy}, Appl. Math. Comput. 170, No. 2, 733--740 (2005; Zbl 1103.65086) Full Text: DOI
Ravi Kanth, A. S. V.; Reddy, Y. N. Higher order finite difference method for a class of singular boundary value problems. (English) Zbl 1058.65078 Appl. Math. Comput. 155, No. 1, 249-258 (2004). MSC: 65L10 65L12 34B05 PDFBibTeX XMLCite \textit{A. S. V. Ravi Kanth} and \textit{Y. N. Reddy}, Appl. Math. Comput. 155, No. 1, 249--258 (2004; Zbl 1058.65078) Full Text: DOI
Reddy, Y. N.; Pramod Chakravarthy, P. An initial-value approach for solving singularly perturbed two-point boundary value problems. (English) Zbl 1058.65079 Appl. Math. Comput. 155, No. 1, 95-110 (2004). MSC: 65L10 35B05 34B15 34E15 PDFBibTeX XMLCite \textit{Y. N. Reddy} and \textit{P. Pramod Chakravarthy}, Appl. Math. Comput. 155, No. 1, 95--110 (2004; Zbl 1058.65079) Full Text: DOI
Reddy, Y. N.; Pramod Chakravarthy, P. An exponentially fitted finite difference method for singular perturbation problems. (English) Zbl 1050.65075 Appl. Math. Comput. 154, No. 1, 83-101 (2004). MSC: 65L12 65L10 34B05 34B15 34E15 65L20 PDFBibTeX XMLCite \textit{Y. N. Reddy} and \textit{P. Pramod Chakravarthy}, Appl. Math. Comput. 154, No. 1, 83--101 (2004; Zbl 1050.65075) Full Text: DOI
Reddy, Y. N.; Pramod Chakravarthy, P. Numerical patching method for singularly perturbed two-point boundary value problems using cubic splines. (English) Zbl 1038.65068 Appl. Math. Comput. 149, No. 2, 441-468 (2004). MSC: 65L10 34B05 34E15 34B15 PDFBibTeX XMLCite \textit{Y. N. Reddy} and \textit{P. Pramod Chakravarthy}, Appl. Math. Comput. 149, No. 2, 441--468 (2004; Zbl 1038.65068) Full Text: DOI
Ravi Kanth, A. S. V.; Reddy, Y. N. A numerical method for singular two point boundary value problems via Chebyshev economizition. (English) Zbl 1035.65084 Appl. Math. Comput. 146, No. 2-3, 691-700 (2003). MSC: 65L10 34B16 65L12 PDFBibTeX XMLCite \textit{A. S. V. Ravi Kanth} and \textit{Y. N. Reddy}, Appl. Math. Comput. 146, No. 2--3, 691--700 (2003; Zbl 1035.65084) Full Text: DOI
Ravi Kanth, A. S. V.; Reddy, Y. N. The method of inner boundary condition for singular boundary value problems. (English) Zbl 1027.65102 Appl. Math. Comput. 139, No. 2-3, 429-436 (2003). MSC: 65L10 34B05 PDFBibTeX XMLCite \textit{A. S. V. Ravi Kanth} and \textit{Y. N. Reddy}, Appl. Math. Comput. 139, No. 2--3, 429--436 (2003; Zbl 1027.65102) Full Text: DOI
Ravi Kanth, A. S. V.; Reddy, Y. N. A numerical method for solving two-point boundary value problems over infinite intervals. (English) Zbl 1024.65060 Appl. Math. Comput. 144, No. 2-3, 483-494 (2003). MSC: 65L10 34B05 65L12 65L20 PDFBibTeX XMLCite \textit{A. S. V. Ravi Kanth} and \textit{Y. N. Reddy}, Appl. Math. Comput. 144, No. 2--3, 483--494 (2003; Zbl 1024.65060) Full Text: DOI
Reddy, Y. N.; Chakravarthy, P. Pramod Method of reduction of order for solving singularly perturbed two-point boundary value problems. (English) Zbl 1026.34063 Appl. Math. Comput. 136, No. 1, 27-45 (2003). MSC: 34E20 65L06 PDFBibTeX XMLCite \textit{Y. N. Reddy} and \textit{P. P. Chakravarthy}, Appl. Math. Comput. 136, No. 1, 27--45 (2003; Zbl 1026.34063) Full Text: DOI
Reddy, Y. N.; Reddy, K. Anantha Numerical integration method for general singularity perturbed two point boundary value problems. (English) Zbl 1024.65061 Appl. Math. Comput. 133, No. 2-3, 351-373 (2002). MSC: 65L10 34B05 34B15 34E15 PDFBibTeX XMLCite \textit{Y. N. Reddy} and \textit{K. A. Reddy}, Appl. Math. Comput. 133, No. 2--3, 351--373 (2002; Zbl 1024.65061) Full Text: DOI
Reddy, Y. N. A note on the numerical-integration method for solving singular perturbation problems. (English) Zbl 0732.65072 Appl. Math. Comput. 43, No. 2, 175-180 (1991). Reviewer: J.M.Sanz-Serna (Valladolid) MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{Y. N. Reddy}, Appl. Math. Comput. 43, No. 2, 175--180 (1991; Zbl 0732.65072) Full Text: DOI
Reddy, Y. N. A numerical integration method for solving singular perturbation problems. (English) Zbl 0704.65057 Appl. Math. Comput. 37, No. 2, 83-95 (1990). Reviewer: Z.Schneider MSC: 65L10 65F10 65L12 34B05 34E15 PDFBibTeX XMLCite \textit{Y. N. Reddy}, Appl. Math. Comput. 37, No. 2, 83--95 (1990; Zbl 0704.65057) Full Text: DOI
Reddy, Y. N. Numerical techniques for a class of singular perturbation problems. (English) Zbl 0703.65042 Appl. Math. Comput. 35, No. 1, 1-11 (1990). Reviewer: J.B.Butler jun MSC: 65L10 34B05 34E15 34K10 PDFBibTeX XMLCite \textit{Y. N. Reddy}, Appl. Math. Comput. 35, No. 1, 1--11 (1990; Zbl 0703.65042) Full Text: DOI
Kadalbajoo, Mohan K.; Reddy, Y. N. Asymptotic and numerical analysis of singular perturbation problems: A survey. (English) Zbl 0678.65059 Appl. Math. Comput. 30, No. 3, 223-259 (1989). Reviewer: M.Brokate MSC: 65L10 34E15 65-02 34B15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, Appl. Math. Comput. 30, No. 3, 223--259 (1989; Zbl 0678.65059) Full Text: DOI
Kadalbajoo, Mohan K.; Reddy, Y. N. An approximate method for solving a class of singular perturbation problems. (English) Zbl 0658.65075 J. Math. Anal. Appl. 133, No. 2, 306-323 (1988). Reviewer: Z.Jackiewicz MSC: 65L10 34B15 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, J. Math. Anal. Appl. 133, No. 2, 306--323 (1988; Zbl 0658.65075) Full Text: DOI
Kadalbajoo, Mohan K.; Reddy, Y. N. A boundary value method for a class of nonlinear singular perturbation problems. (English) Zbl 0648.65066 Commun. Appl. Numer. Methods 4, No. 4, 587-594 (1988). Reviewer: K.T.S.Iyengar MSC: 65L10 34E15 34B15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, Commun. Appl. Numer. Methods 4, No. 4, 587--594 (1988; Zbl 0648.65066) Full Text: DOI
Kadalbajoo, Mohan K.; Reddy, Y. N. Numerical solution of singular perturbation problems via deviating arguments. (English) Zbl 0626.65076 Appl. Math. Comput. 21, 221-232 (1987). Reviewer: K.T.S.Iyengar MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, Appl. Math. Comput. 21, 221--232 (1987; Zbl 0626.65076) Full Text: DOI
Kadalbajoo, Mohan K.; Reddy, Y. N. Approximate method for the numerical solution of singular perturbation problems. (English) Zbl 0626.65075 Appl. Math. Comput. 21, 185-199 (1987). Reviewer: K.T.S.Iyengar MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, Appl. Math. Comput. 21, 185--199 (1987; Zbl 0626.65075) Full Text: DOI
Kadalbajoo, Mohan K.; Reddy, Y. N. Numerical treatment of singularly perturbed two point boundary value problems. (English) Zbl 0626.65074 Appl. Math. Comput. 21, 93-110 (1987). Reviewer: K.T.S.Iyengar MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, Appl. Math. Comput. 21, 93--110 (1987; Zbl 0626.65074) Full Text: DOI
Kadalbajoo, M. K.; Reddy, Y. N. A nonasymptotic method for general linear singular perturbation problems. (English) Zbl 0618.65066 J. Optimization Theory Appl. 55, No. 2, 257-269 (1987). MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, J. Optim. Theory Appl. 55, No. 2, 257--269 (1987; Zbl 0618.65066) Full Text: DOI
Kadalbajoo, M. K.; Reddy, Y. N. Numerical solution of singular perturbation problems by a terminal boundary-value technique. (English) Zbl 0586.65056 J. Optimization Theory Appl. 52, 243-254 (1987). MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, J. Optim. Theory Appl. 52, 243--254 (1987; Zbl 0586.65056) Full Text: DOI
Kadalbajoo, Mohan K.; Reddy, Y. N. A computational method for solving singular perturbation problems using fourth order finite differences. (English) Zbl 0607.65052 Commun. Appl. Numer. Methods 2, 609-615 (1986). Reviewer: M.Calvo MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, Commun. Appl. Numer. Methods 2, 609--615 (1986; Zbl 0607.65052) Full Text: DOI
Kadalbajoo, Mohan K.; Reddy, Y. N. The method of inner boundary condition: A new approach for solving singular perturbation problems. (English) Zbl 0585.65057 J. Comput. Phys. 62, 349-360 (1986). Reviewer: P.Chocholatý MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, J. Comput. Phys. 62, 349--360 (1986; Zbl 0585.65057) Full Text: DOI
Kadalbajoo, M. K.; Reddy, Y. N. Numerical integration of a class of singular perturbation problems. (English) Zbl 0579.65081 J. Optimization Theory Appl. 51, 441-452 (1986). MSC: 65L10 65L20 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{Y. N. Reddy}, J. Optim. Theory Appl. 51, 441--452 (1986; Zbl 0579.65081) Full Text: DOI