| BOOK: |
- Calculus, Atul Prakashan, ISBN No. 978-93-85138-20-1, 2019-20.
- Practical Workbook Calculus, Atul Prakashan, ISBN No. 978-93-85173-84-4, 2019-20.
- Multivariate Calculus, Atul Prakashan, ISBN No. 978-93-85173-86-8, 2019-20.
- Numerical Analysis, Atul Prakashan, ISBN No. 978-93-85173-91-2, 2019-20.
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| International / National Journal: |
- Pathak S. & Singh T. Approximate solution of imbibition phenomenon arising in heterogeneous porous media by optimal homotopy analysis method. International Journal of Computational Materials Science and Engineering, 8(03), 19500–14, 2019.
- Pathak S. Analytic solution of gas dynamic equation using Optimal homotopy analysis method. PROCEEDINGS OF cSTEM’19, ISBN NUMBER : 978 93 5382943, 27–28, 2019.
- Pathak S. & Singh T. Study on fingero imbibition phenomena in inclined porous media by optimal homotopy analysis method, Ain Shams Engineering Journal, 9(4), 1181–1187, 2018.
- Pathak S. & Singh T. A mathematical modelling of imbibition phenomenon in inclined homogenous porous media during oil recovery process, Perspectives in Science, Volume 8, 183–186 September 2016, ISSN:2213-0209, http://dx.doi.org/10.1016/j.pisc.2016.04.028.
- Pathak S. & Singh T. The solution of non-linear problem arising in infiltration phenomenon in unsaturated soil by optimal homotopy analysis method, Int. J. Adv. Appl. Math. & Mech, 4(2), 21–28, ISSN: 2347–2529, 2016.
- Pathak S. & Singh T. Solution of coupled non-linear system by optimal homotopy analysis method. International Journal of Conceptions on Computing and Information Technology Vol. 3, Issue. 2, August 2015, ISSN:2345–9808, 2015.
- Pathak S. & Singh T. An analytic solution of mathematical model of Boussinq’s equation in homogeneous porous media during infiltration of groundwater flow, Journal of Geography, Environment and Earth Science International, SCIENCEDOMAIN international, 3(2), 1-8, ISSN:2454–7352, 2015, DOI: 10.9734/JGEESI/2015/17722
- Pathak S. & Singh T. A Study on Analytic Solution of Burger’s Equation arising in Longitudinal Dispersion Phenomenon in Groundwater Flow, Elixir Appl. Math. 81(2015), 31681-31685, ISSN:2229–712X, 2015.
- Pathak S. & Singh T. Optimal homotopy analysis methods for solving the linear and nonlinear Fokker Planck equations, British Journal of Mathematics & Computer Science, SCIENCEDOMAIN international, 7(3), 209-217,ISSN:2231–0851, 2015.
- Pathak S. & Singh T. An Analysis on Groundwater Recharge by Mathematical Model in Inclined Porous Media, International Scholarly Research Notices Volume 2014, Article ID 189369, E–ISSN: 2356–787, 2014.
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| International / National Conference: |
- Optimal homotopy analysis method for the approximate solution of non-linear PDE, Second International conference on Research and Innovations in Science, Engineering and Technology, September 4-5, 2020, Birla Vishvakarma Mahavidyalaya (BVM), Vallabh Vidyanagar.
- Analytic solution of Gas dynamic equation using optimal homotopy analysis method, A two day National Conference on STEM (Science, Technology, Engineering and Mathematics), September 27-28, 2019, G H Patel College of Engineering and Technology, Vallabh Vidyanagar.
- A study of instability phenomenon in homogenous porous media during secondary oil recovery process, International Conference on Applied Physics and Mathematics (ICAPM), August 21-22, 2016, Bangkok, Thailand.
- Approximate solution of imbibition phenomenon arising in heterogeneous porous media by optimal homotopy analysis method, International workshop and conference on analysis and applied mathematics (IWCAAM) during, June 06 – 10, 2016, NIT Trichy, India.
- A mathematical modelling of imbibitions phenomenon in inclined homogenous porous media during oil recovery process, International Conference on Recent Trends in Engineering and Materials Science (ICEMS), March 17-19, 2016, Jaipur, India.
- Solution of coupled nonlinear system by optimal homotopy analysis method, presented in International Conference on Mathematics and Information Technology (ICMIT), August 20-22, 2015, Colombo, Sri Lanka.
- Solution of infiltration phenomenon of groundwater flows by optimal homotopy analysis method, presented in National Conference on Current Development in Analysis and its Applications, March 14-15, 2015, Faculty of Science, The M S University – Baroda, India.
- An Analysis on Groundwater Recharge by Mathematical Model in Inclined Porous Media, presented in International Conference on Mathematics & Engineering Sciences(ICMES), March 20-22, 2014, Chitkara University, Himachal Pradesh, India.
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