Kumar Mishra, Hradyesh; Lodhi, Ram Kishun Two-parameter singular perturbation boundary value problems via quintic B-spline method. (English) Zbl 1515.65201 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 92, No. 4, 541-553 (2022). MSC: 65L10 34E15 65L12 65D07 PDFBibTeX XMLCite \textit{H. Kumar Mishra} and \textit{R. K. Lodhi}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 92, No. 4, 541--553 (2022; Zbl 1515.65201) Full Text: DOI
Khan, Mohammad Ali; Maity, Debjani; Jabeen, Syeda Darakhshan Spatiotemporal synchronization of diffusively coupled modified logistic map under complex network. (English) Zbl 1497.34076 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 92, No. 2, 147-156 (2022). MSC: 34D06 37D45 PDFBibTeX XMLCite \textit{M. A. Khan} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 92, No. 2, 147--156 (2022; Zbl 1497.34076) Full Text: DOI
Zhou, Cai-lian; Xu, Song; Xie, Lie-jun Linear Fredholm integro-differential-difference equations and their effective computation. (English) Zbl 1490.34071 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 3, 475-486 (2021). MSC: 34K06 39A06 45A05 45B05 65D15 PDFBibTeX XMLCite \textit{C.-l. Zhou} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 3, 475--486 (2021; Zbl 1490.34071) Full Text: DOI
Sarkar, Suman; Sahoo, Bikash; Vikas, K.; Sarkar, Golam Mortuja Effects of anisotropic roughness on MHD flow near a rotating disk. (English) Zbl 1490.76075 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 3, 435-442 (2021). MSC: 76D05 76D03 34B40 PDFBibTeX XMLCite \textit{S. Sarkar} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 3, 435--442 (2021; Zbl 1490.76075) Full Text: DOI
Kumar, Manoj; Varshney, Parul Numerical simulation of van der Pol equation using multiple scales modified Lindstedt-Poincaré method. (English) Zbl 1490.65135 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 55-65 (2021). MSC: 65L05 34A45 PDFBibTeX XMLCite \textit{M. Kumar} and \textit{P. Varshney}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 1, 55--65 (2021; Zbl 1490.65135) Full Text: DOI
Nadeem, Mohd; Dabas, Jaydev Solvability of fractional order semi-linear stochastic impulsive differential equation with state-dependent delay. (English) Zbl 1458.34135 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 3, 411-419 (2020). MSC: 34K37 34K30 34K45 34K50 34K43 47N20 PDFBibTeX XMLCite \textit{M. Nadeem} and \textit{J. Dabas}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 3, 411--419 (2020; Zbl 1458.34135) Full Text: DOI
Mishra, Hradyesh Kumar; Tripathi, Rajnee Homotopy perturbation method of delay differential equation using He’s polynomial with Laplace transform. (English) Zbl 1458.34115 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 289-298 (2020). MSC: 34K05 34K07 44A10 PDFBibTeX XMLCite \textit{H. K. Mishra} and \textit{R. Tripathi}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 2, 289--298 (2020; Zbl 1458.34115) Full Text: DOI
Manafian, Jalil; Farshbaf Zinati, Reza Application of \(\tan (\Phi (\xi )/2)\)-expansion method to solve some nonlinear fractional physical model. (English) Zbl 1454.35322 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 1, 67-86 (2020). MSC: 35Q53 35Q35 35Q91 35Q51 35Q92 92D25 35C09 35R11 34A34 PDFBibTeX XMLCite \textit{J. Manafian} and \textit{R. Farshbaf Zinati}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 90, No. 1, 67--86 (2020; Zbl 1454.35322) Full Text: DOI
Kumar, Amit; Kumar, Sunil A modified analytical approach for fractional discrete KdV equations arising in particle vibrations. (English) Zbl 1393.34016 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 88, No. 1, 95-106 (2018). MSC: 34A08 35Q53 44A10 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{S. Kumar}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 88, No. 1, 95--106 (2018; Zbl 1393.34016) Full Text: DOI
Saini, Sonali; Mishra, Hradyesh Kumar A special class of singular singularly perturbed two-point boundary value problems via fitted mesh B-spline method. (English) Zbl 1379.34051 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 87, No. 3, 395-403 (2017). MSC: 34D15 65L11 65L10 PDFBibTeX XMLCite \textit{S. Saini} and \textit{H. K. Mishra}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 87, No. 3, 395--403 (2017; Zbl 1379.34051) Full Text: DOI
Senol, Bilal; Yeroglu, Celaleddin Simplified frequency response computation of fractional order systems with multiple linear uncertainty structures. (English) Zbl 1381.93076 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 86, No. 3, 361-369 (2016). MSC: 93C80 34A08 93C41 93B40 PDFBibTeX XMLCite \textit{B. Senol} and \textit{C. Yeroglu}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 86, No. 3, 361--369 (2016; Zbl 1381.93076) Full Text: DOI
Khan, Mohammad Ali; Sahoo, Banshidhar; Mondal, Arun Kumar Control of chaos to obtain periodic behaviour via nonlinear control. (English) Zbl 1314.34133 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 85, No. 1, 143-148 (2015). MSC: 34H10 PDFBibTeX XMLCite \textit{M. A. Khan} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 85, No. 1, 143--148 (2015; Zbl 1314.34133) Full Text: DOI
Karmokar, Pintu; Islam, Nurul The generalized synchronization of bidirectionally coupled Qi-Chen systems via linear transformation. (English) Zbl 1314.34118 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 85, No. 1, 137-141 (2015). MSC: 34D06 34C28 PDFBibTeX XMLCite \textit{P. Karmokar} and \textit{N. Islam}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 85, No. 1, 137--141 (2015; Zbl 1314.34118) Full Text: DOI
Talwar, Jyoti; Mohanty, R. K. Coupled reduced alternating group explicit algorithm for third order cubic spline method on a non-uniform mesh for nonlinear singular two point boundary value problems. (English) Zbl 1314.34047 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 85, No. 1, 71-81 (2015). MSC: 34B15 65L10 65L12 65D07 PDFBibTeX XMLCite \textit{J. Talwar} and \textit{R. K. Mohanty}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 85, No. 1, 71--81 (2015; Zbl 1314.34047) Full Text: DOI
Singh, Randhir; Nelakanti, Gnaneshwar; Kumar, Jitendra Approximate solution of two-point boundary value problems using Adomian decomposition method with Green’s function. (English) Zbl 1314.34046 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 85, No. 1, 51-61 (2015). MSC: 34B15 34A45 65L10 34B27 65L70 PDFBibTeX XMLCite \textit{R. Singh} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 85, No. 1, 51--61 (2015; Zbl 1314.34046) Full Text: DOI
El-Nabulsi, Rami Ahmad A generalized nonlinear oscillator from non-standard degenerate Lagrangians and its consequent Hamiltonian formalism. (English) Zbl 1314.34077 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 84, No. 4, 563-569 (2014). MSC: 34C15 PDFBibTeX XMLCite \textit{R. A. El-Nabulsi}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 84, No. 4, 563--569 (2014; Zbl 1314.34077) Full Text: DOI
Rath, Biswanath; Agarwalla, Snigdha Nonlinear oscillator: controlled and uncontrolled vibrations. (English) Zbl 1284.34048 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 84, No. 1, 83-86 (2014). MSC: 34C15 49J21 PDFBibTeX XMLCite \textit{B. Rath} and \textit{S. Agarwalla}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 84, No. 1, 83--86 (2014; Zbl 1284.34048) Full Text: DOI
Kumar, Virendra \(N\)-fractional calculus of general class of functions and Fox’s \(H\)-function. (English) Zbl 1325.34012 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 83, No. 3, 271-277 (2013). MSC: 34A08 33C10 PDFBibTeX XMLCite \textit{V. Kumar}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 83, No. 3, 271--277 (2013; Zbl 1325.34012) Full Text: DOI
Misra, O. P.; Sinha, P.; Rathore, S. K. S. Effect of polluted soil on the growth dynamics of plant-herbivore system: a mathematical model. (English) Zbl 1170.92028 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 78, No. 2, 145-154 (2008). MSC: 92D40 92C80 34D05 37N25 PDFBibTeX XMLCite \textit{O. P. Misra} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 78, No. 2, 145--154 (2008; Zbl 1170.92028)
Tamizhmani, K. M.; Ramani, A.; Grammaticos, B.; Tamizhmani, T. Painlevé equations: from continuous to discrete. (English) Zbl 1190.34117 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 78, No. 2, 85-104 (2008). Reviewer: Svitlana P. Rogovchenko (Umeå) MSC: 34M55 37K10 39A12 PDFBibTeX XMLCite \textit{K. M. Tamizhmani} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 78, No. 2, 85--104 (2008; Zbl 1190.34117)
Misra, A. K. Mathematical modeling of the survival of biological species in eutrophied water bodies. (English) Zbl 1156.92042 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 78, No. 4, 331-340 (2008). MSC: 92D40 34D20 65C20 PDFBibTeX XMLCite \textit{A. K. Misra}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 78, No. 4, 331--340 (2008; Zbl 1156.92042)
Saha, L. M.; Budhraja, Mridula Complete synchronization of chaotic systems. (English) Zbl 1166.34318 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 77, No. 2, 161-168 (2007). Reviewer: Li-Qun Chen (Shanghai) MSC: 34D05 34C28 PDFBibTeX XMLCite \textit{L. M. Saha} and \textit{M. Budhraja}, Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 77, No. 2, 161--168 (2007; Zbl 1166.34318)
Misra, O. P.; Jadon, B. P. S.; Saxena, A. K. Mathematical study of the effects of chemical transformation of toxicants on single species population: A qualitative approach. (English) Zbl 0977.92031 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 70, No. 3, 259-280 (2000). MSC: 92D40 34D23 34D05 PDFBibTeX XMLCite \textit{O. P. Misra} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 70, No. 3, 259--280 (2000; Zbl 0977.92031)