Open Access
ITM Web Conf.
Volume 13, 2017
2nd International Conference on Computational Mathematics and Engineering Sciences (CMES2017)
Article Number 01001
Number of page(s) 13
Published online 02 October 2017
  1. A Abbaoui, K., and Y. Cherruault. Convergence of Adomian's method applied to nonlinear equations. Mathematical and Computer Modelling 20. 9 (1994): 69–73. [CrossRef] [MathSciNet] [Google Scholar]
  2. Evans, David, and Hasan Bulut. A new approach to the gas dynamics equation: An application of the decomposition method. International journal of computer mathematics 79. 7 (2002) 817–822 [CrossRef] [MathSciNet] [Google Scholar]
  3. He, Ji-Huan. Variational iteration method-a kind of non-linear analytical technique: some examples. International journal of non-linear mechanics 34. 4 (1999): 699–708. [Google Scholar]
  4. Deniz, S., Bildik, N., Comparison of Adomian decomposition method and Taylor matrix method in solving different kinds of partial differential equations, International Journal of Modelling and Optimization, Vol.4(4): pp.292–298, 2014. [CrossRef] [Google Scholar]
  5. Bildik, N., Deniz, S., Comparison of solutions of systems of delay differential equations using Taylor collocation method, Lambert W function and variational iteration method. Scientia Iranica. Transaction D, Computer Science & Engineering and Electrical Engineering, Vol.22(3):pp.1052–1058, (2015). [Google Scholar]
  6. Deniz, S., Optimal perturbation iteration method for solving nonlinear heat transfer equations. Journal of Heat Transfer-ASME, 139: 37, 074503-1, (2017). [CrossRef] [Google Scholar]
  7. Bildik, N., Deniz, S., Modification of perturbation-iteration method to solve different types of nonlinear differential equations, AIP Conf. Proc., 1798, 020027 (2017). [CrossRef] [Google Scholar]
  8. Deniz, S., Bildik, N., Applications of optimal perturbation iteration method for solving nonlinear differential equations, AIP Conf. Proc., 1798, 020046 (2017). [CrossRef] [Google Scholar]
  9. Abbasbandy, S. A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials. Journal of Computational and Applied Mathematics 207. 1 (2007): 59–63. [CrossRef] [MathSciNet] [Google Scholar]
  10. Öziş, Turgut, and Deniz Ağırseven. He's homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients. Physics Letters A 372. 38 (2008): 5944–5950. [CrossRef] [MathSciNet] [Google Scholar]
  11. Turkyilmazoglu, M. Convergence of the homotopy perturbation method. International Journal of Nonlinear Sciences and Numerical Simulation 12. 1-8 (2011) 9–14. [MathSciNet] [Google Scholar]
  12. Abbasbandy, Saeid. Numerical solutions of the integral equations: Homotopy perturbation method and Adomian's decomposition method. Applied Mathematics and Computation 173. 1 (2006): 493–500 [CrossRef] [MathSciNet] [Google Scholar]
  13. Liao, Shijun. On the homotopy analysis method for nonlinear problems. Applied Mathematics and Computation 147. 2 (2004): 499–513 [CrossRef] [MathSciNet] [Google Scholar]
  14. Abbasbandy, S. Homotopy analysis method for the Kawahara equation. Nonlinear Analysis: Real World Applications 11. 1 (2010): 307–312 [CrossRef] [MathSciNet] [Google Scholar]
  15. Inc, Mustafa. Application of homotopy analysis method for fin efficiency of convective straight fins with temperature-dependent thermal conductivity. Mathematics and Computers in Simulation 79. 2 (2008): 189–200 [CrossRef] [MathSciNet] [Google Scholar]
  16. Shivanian, Elyas, and Saeid Abbasbandy. Predictor homotopy analysis method: Two points second order boundary value problems. Nonlinear Analysis: Real World Applications 15 (2014) 89–99 [CrossRef] [EDP Sciences] [MathSciNet] [Google Scholar]
  17. Marinca, Vasile, and Nicolae Herişanu. Application of optimal homotopy asymptotic method for solving nonlinear equations arising in heat transfer. International Communications in Heat and Mass Transfer 35. 6 (2008): 710–715. [CrossRef] [Google Scholar]
  18. Marinca, Vasile , et al. An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate. Applied Mathematics Letters 22.2 (2009) 245–251 [CrossRef] [MathSciNet] [Google Scholar]
  19. Herişanu, N., and Vasile Marinca. Accurate analytical solutions to oscillators with discontinuities and fractional-power restoring force by means of the optimal homotopy asymptotic method. Computers & Mathematics with Applications 60. 6 (2010): 1607–1615. [CrossRef] [MathSciNet] [Google Scholar]
  20. Iqbal, S., and A. Javed. Application of optimal homotopy asymptotic method for the analytic solution of singular Lane-Emden type equation. Applied Mathematics and Computation 217.19 (2011) 7753–7761 [CrossRef] [MathSciNet] [Google Scholar]
  21. Gupta, A. K., and S. Saha Ray. Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq-Burger equations. Computers & Fluids 103 (2014): 34–41 [CrossRef] [MathSciNet] [Google Scholar]
  22. Bildik, Necdet, and Sinan Deniz. A new efficient method for solving delay differential equations and a comparison with other methods. The European Physical Journal Plus 132.1 (2017): 51. [CrossRef] [EDP Sciences] [Google Scholar]
  23. Tang, S., and R. O. Weber. Numerical study of Fisher's equation by a Petrov-Galerkin finite element method. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics 33. 01 (1991): 27–38. [CrossRef] [Google Scholar]
  24. Mavoungou, T., and Y. Cherruault. Numerical study of Fisher's equation by Adomian's method. Mathematical and computer modelling 19.1 (1994):89–95. [CrossRef] [MathSciNet] [Google Scholar]
  25. Tyson, John J., and Pavel K. Brazhnik. On traveling wave solutions of Fisher's equation in two spatial dimensions. SIAM Journal on Applied Mathematics 60.2 (2000): 371–391 [CrossRef] [MathSciNet] [Google Scholar]
  26. Aksoy, Yiğit, and Mehmet Pakdemirli. New perturbation-iteration solutions for Bratu-type equations. Computers & Mathematics with Applications 59.8 (2010): 2802–2808. [CrossRef] [MathSciNet] [Google Scholar]
  27. Aksoy, Yigit, et al. New perturbation-iteration solutions for nonlinear heat transfer equations. International Journal of Numerical Methods for Heat & Fluid Flow 22.7 (2012): 814–828. [CrossRef] [MathSciNet] [Google Scholar]
  28. Itoh, Shigeru. Random fixed point theorems with an application to random differential equations in Banach spaces. Journal of Mathematical Analysis and Applications 67.2 (1979) 261–273. [CrossRef] [MathSciNet] [Google Scholar]
  29. Wazwaz, Abdul-Majid, and Alice Gorguis. An analytic study of Fisher's equation by using Adomian decomposition method. Applied Mathematics and Computation 154.3 (2004): 609–620. [CrossRef] [MathSciNet] [Google Scholar]
  30. Jone, D. S., and B. D. Sleeman. Differential Equations and Mathematical Biology. 2003. Chapman& Hall/CRC, New York. [Google Scholar]
  31. Matinfar, M., and M. Ghanbari. Solving the Fisher's equation by means of variational iteration method. International Journal of Contemporary Mathematical Sciences 4. 5-8 (2009): 343–348. [MathSciNet] [Google Scholar]
  32. Ağırseven, Deniz, and Turgut Öziş. “An analytical study for Fisher type equations by using homotopy perturbation method”. Computers & Mathematics with Applications 60.3 (2010) 602–609 [CrossRef] [MathSciNet] [Google Scholar]
  33. Wang, X. Y. “ Exact and explicit solitary wave solutions for the generalized Fisher equation.”. Physics Letters A 131.4-5 (1988) 277–279. [CrossRef] [MathSciNet] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.