Mbayi, Charles K.; Munyakazi, Justin B.; Patidar, Kailash C. Layer resolving fitted mesh method for parabolic convection-diffusion problems with a variable diffusion. (English) Zbl 1486.65118 J. Appl. Math. Comput. 68, No. 2, 1245-1270 (2022). MSC: 65M06 35B25 35G16 65B05 65M12 PDFBibTeX XMLCite \textit{C. K. Mbayi} et al., J. Appl. Math. Comput. 68, No. 2, 1245--1270 (2022; Zbl 1486.65118) Full Text: DOI
Mbayi, Charles K.; Munyakazi, Justin B.; Patidar, Kailash C. A robust fitted numerical method for singularly perturbed turning point problems whose solution exhibits an interior layer. (English) Zbl 1486.65077 Quaest. Math. 43, No. 1, 1-24 (2020). MSC: 65L10 65L11 65L12 65L70 34E20 34E15 PDFBibTeX XMLCite \textit{C. K. Mbayi} et al., Quaest. Math. 43, No. 1, 1--24 (2020; Zbl 1486.65077) Full Text: DOI
Munyakazi, Justin B.; Patidar, Kailash C.; Sayi, Mbani T. A robust fitted operator finite difference method for singularly perturbed problems whose solution has an interior layer. (English) Zbl 07316663 Math. Comput. Simul. 160, 155-167 (2019). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. B. Munyakazi} et al., Math. Comput. Simul. 160, 155--167 (2019; Zbl 07316663) Full Text: DOI
Munyakazi, Justin B.; Patidar, Kailash C. Performance of Richardson extrapolation on some numerical methods for a singularly perturbed turning point problem whose solution has boundary layers. (English) Zbl 1311.65100 J. Korean Math. Soc. 51, No. 4, 679-702 (2014). Reviewer: Srinivasan Natesan (Assam) MSC: 65L10 65L12 65L11 65L50 65L06 65L70 34B15 34E15 PDFBibTeX XMLCite \textit{J. B. Munyakazi} and \textit{K. C. Patidar}, J. Korean Math. Soc. 51, No. 4, 679--702 (2014; Zbl 1311.65100) Full Text: DOI Link
Sharma, Kapil K.; Rai, Pratima; Patidar, Kailash C. A review on singularly perturbed differential equations with turning points and interior layers. (English) Zbl 1302.34087 Appl. Math. Comput. 219, No. 22, 10575-10609 (2013). MSC: 34E15 34E20 65L11 PDFBibTeX XMLCite \textit{K. K. Sharma} et al., Appl. Math. Comput. 219, No. 22, 10575--10609 (2013; Zbl 1302.34087) Full Text: DOI
Kadalbajoo, Mohan K.; Patidar, Kailash C. Variable mesh spline approximation method for solving singularly perturbed turning point problems having interior layer. (English) Zbl 1210.65136 Neural Parallel Sci. Comput. 18, No. 2, 207-220 (2010). MSC: 65L10 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{K. C. Patidar}, Neural Parallel Sci. Comput. 18, No. 2, 207--220 (2010; Zbl 1210.65136)
Munyakazi, Justin B.; Patidar, Kailash C. Limitations of Richardson’s extrapolation for a high order fitted mesh method for self-adjoint singularly perturbed problems. (English) Zbl 1205.65218 J. Appl. Math. Comput. 32, No. 1, 219-236 (2010). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L10 65L12 65L20 65L70 34B15 34E15 PDFBibTeX XMLCite \textit{J. B. Munyakazi} and \textit{K. C. Patidar}, J. Appl. Math. Comput. 32, No. 1, 219--236 (2010; Zbl 1205.65218) Full Text: DOI
Patidar, K. C. Numerical methods for multi-parameter singular perturbation problems. (English) Zbl 1175.65084 Abdulle, Assyr (ed.) et al., Multiple scales problems in biomathematics, mechanics, physics and numerics, CIMPA school, Cape Town, South Africa, August 6–18, 2007. Tokyo: Gakkotosho (ISBN 978-4-7625-0456-3/hbk). GAKUTO International Series. Mathematical Sciences and Applications 31, 327-344 (2009). MSC: 65L10 65L12 34B05 34E15 PDFBibTeX XMLCite \textit{K. C. Patidar}, GAKUTO Int. Ser., Math. Sci. Appl. 31, 327--344 (2009; Zbl 1175.65084)
Patidar, Kailash C. High order parameter uniform numerical method for singular perturbation problems. (English) Zbl 1119.65070 Appl. Math. Comput. 188, No. 1, 720-733 (2007). Reviewer: Srinivasan Natesan (Assam) MSC: 65L10 34B05 34E15 65L12 65L70 65L20 PDFBibTeX XMLCite \textit{K. C. Patidar}, Appl. Math. Comput. 188, No. 1, 720--733 (2007; Zbl 1119.65070) Full Text: DOI
Kadalbajoo, Mohan K.; Patidar, Kailash C. \(\varepsilon\)-uniformly convergent fitted mesh finite difference methods for general singular perturbation problems. (English) Zbl 1103.65084 Appl. Math. Comput. 179, No. 1, 248-266 (2006). Reviewer: Roland Pulch (Wuppertal) MSC: 65L10 65L12 65L20 34B05 34E15 65L50 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{K. C. Patidar}, Appl. Math. Comput. 179, No. 1, 248--266 (2006; Zbl 1103.65084) Full Text: DOI
Kadalbajoo, Mohan K.; Patidar, Kailash C. Exponentially fitted spline approximation method for solving selfadjoint singular perturbation problems. (English) Zbl 1045.65064 Int. J. Math. Math. Sci. 2003, No. 61, 3873-3891 (2003). Reviewer: Oscar Lopez-Pouso (Santiago de Compostela) MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{K. C. Patidar}, Int. J. Math. Math. Sci. 2003, No. 61, 3873--3891 (2003; Zbl 1045.65064) Full Text: DOI EuDML
Kadalbajoo, Mohan K.; Patidar, Kailash C. Variable mesh spline in compression for the numerical solutions of singular perturbation problems. (English) Zbl 1017.65066 Int. J. Comput. Math. 80, No. 1, 83-93 (2003). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L10 65L20 65L50 65L12 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{K. C. Patidar}, Int. J. Comput. Math. 80, No. 1, 83--93 (2003; Zbl 1017.65066) Full Text: DOI
Kadalbajoo, Mohan K.; Patidar, Kailash C. Numerical solution of singularly perturbed non-linear two point boundary value problems by spline in compression. (English) Zbl 1008.65051 Int. J. Comput. Math. 79, No. 2, 271-288 (2002). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L10 65L70 34B15 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{K. C. Patidar}, Int. J. Comput. Math. 79, No. 2, 271--288 (2002; Zbl 1008.65051) Full Text: DOI
Kadalbajoo, M. K.; Patidar, K. C. Spline techniques for the numerical solution of singular perturbation problems. (English) Zbl 0995.65080 J. Optimization Theory Appl. 112, No. 3, 575-594 (2002). MSC: 65L10 65L12 65L20 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{K. C. Patidar}, J. Optim. Theory Appl. 112, No. 3, 575--594 (2002; Zbl 0995.65080) Full Text: DOI
Kadalbajoo, M. K.; Patidar, K. C. Variable mesh spline approximation method for solving singularly perturbed turning point problems having boundary layer(s). (English) Zbl 1003.65085 Comput. Math. Appl. 42, No. 10-11, 1439-1453 (2001). Reviewer: Ll.G.Chambers (Bangor) MSC: 65L10 34B05 34E15 65L20 65L50 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{K. C. Patidar}, Comput. Math. Appl. 42, No. 10--11, 1439--1453 (2001; Zbl 1003.65085) Full Text: DOI
Kadalbajoo, Mohan K.; Patidar, Kailash Numerical solution of singularly perturbed two point boundary value problems by spline in compression. (English) Zbl 0984.65073 Int. J. Comput. Math. 77, No. 2, 263-283 (2001). Reviewer: N.Parhi (Berhampur) MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. Kadalbajoo} and \textit{K. Patidar}, Int. J. Comput. Math. 77, No. 2, 263--283 (2001; Zbl 0984.65073) Full Text: DOI