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International Journal of Computer Mathematics Volume 95, 2018 - Issue 11
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Articles

Propagation of non-linear waves in a non-ideal relaxing gas

Mohd. Junaid SiddiquiDepartment of Mathematics & Natural Sciences, Prince Mohhammad Bin Fahd University, Al Khobar, Kingdom of Saudi ArabiaCorrespondence[email protected]
,
Rajan AroraApplied Science and Engineering, IIT Roorkee, Saharanpur, India
&
V. P. SinghDepartment of Mathematics, Faculty of Science, Al Baha University, Kingdom of Saudi Arabia
Pages 2330-2342 | Received 17 May 2016, Accepted 02 Sep 2017, Published online: 20 Nov 2017

References

  • E. Becker, Chemically reacting flows, Ann. Rev. Fluid Mech. 4 (1972), pp. 155–194. doi: 10.1146/annurev.fl.04.010172.001103
  • P. Germain, Progressive waves, Centenaire de Prandtl Memorial Lecture, Jarbuch, der DGLR, 1971, pp. 11–30.
  • J.K. Hunter, J.B. Keller, Weakly nonlinear high frequency waves, Comm. Pure Appl. Math. 36 (1983), pp. 547–569. doi: 10.1002/cpa.3160360502
  • J. Jena, V.D. Sharma, Far-field behavior of waves in a relaxing gas, Acta Astronautica. 40 (1997), pp. 713–718. doi: 10.1016/S0094-5765(97)00134-3
  • S.K. Khattri, Series expansion of functions with He’s homotopy perturbation method, Int. J. Math. Edu. Sci. & Tech. 43 (2012), pp. 677–684.
  • S.J. Liao, The proposed homotopy analysis technique for the solution of nonlinear problems, Ph.D. thesis, Shanghai Jiao Tong University, 1992.
  • S.J. Liao, Beyond Perturbation: Introduction to the Homotopy Analysis Method, Chapman & Hall/CRC Press, Boca Raton, 2003.
  • S.A.V. Manickam, C. Radha, V.D. Sharma, Far field behaviour of waves in a vibrationally relaxing gas, Appl. Numer. Math. 45 (2003), pp. 293–307. doi: 10.1016/S0168-9274(02)00214-3
  • H. Ockenden, D.A. Spence, Nonlinear wave propagation in a relaxing gas, J. Fluid Mech 39 (1969), pp. 329–345. doi: 10.1017/S0022112069002205
  • C. Radha, V.D. Sharma, Propagation and interaction of waves in a relaxing gas, Philos. Trans. Roy. Soc. London A. 352 (1995), pp. 169–195. doi: 10.1098/rsta.1995.0062
  • W.A. Scott, N.H. Johannesen, Spherical nonlinear wave propagation in a vibrationally relaxing gas, Proc. Roy. Soc. London A. 382 (1982), pp. 103–134. doi: 10.1098/rspa.1982.0092
  • V.D. Sharma, R.R. Sharma, B.D. Pandey, N. Gupta, Nonlinear analysis of a traffic flow, Z. Angew Math Phys 40 (1989), pp. 828–837. doi: 10.1007/BF00945805
  • V.D. Sharma, L.P. Singh, R. Ram, The progressive wave approach analyzing the decay of a sawtooth profile in magnetogasdynamics, Phys Fluids 30 (1987), pp. 1572–1574. doi: 10.1063/1.866222
  • M.J. Siddiqui, R. Aora, A. Kumar, Shock waves propagation under the influence of magnetic field, Chaos Solit. & Fract. 2017, 97, pp. 66–74. doi: 10.1016/j.chaos.2016.12.020

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