A comparative study for fractional chemical kinetics and carbon dioxide CO 2 absorbed into phenyl glycidyl ether problems

作者: Ranbir Kumar , , Sunil Kumar , Jagdev Singh , Zeyad Al-Zhour

DOI: 10.3934/MATH.2020206

关键词: Chemical kineticsWaveletHaarApplied mathematicsMathematicsBoundary (topology)Work (thermodynamics)Algebraic equationHaar waveletBashforth

摘要: The essential objective of this work is to implement Adam Bashforth’s Moulton (ABM) and Haar wavelet method (HWM) solve fractional chemical kinetics another problem that relates the condensations carbon dioxide (CO2) phenyl glycidyl ether (PGE) with two variety Drichlet a mixed set Neumann boundary type conditions respectively. We have been solved above system differential equations by operational where technique convert into algebraic equation which can be easily. This expects contribute vast advantage wavelets in science. impressive convenient for obtaining numerical solutions engineering problems. A complete agreement acheived between solution solution. To manifest about performance applicability method, test examples are deliberated.

参考文章(65)
Zhe Gao, Xiaozhong Liao, Discretization algorithm for fractional order integral by Haar wavelet approximation Applied Mathematics and Computation. ,vol. 218, pp. 1917- 1926 ,(2011) , 10.1016/J.AMC.2011.07.003
Zhi Shi, Yong-yan Cao, A spectral collocation method based on Haar wavelets for Poisson equations and biharmonic equations Mathematical and Computer Modelling. ,vol. 54, pp. 2858- 2868 ,(2011) , 10.1016/J.MCM.2011.07.006
Yanxin Wang, Qibin Fan, The second kind Chebyshev wavelet method for solving fractional differential equations Applied Mathematics and Computation. ,vol. 218, pp. 8592- 8601 ,(2012) , 10.1016/J.AMC.2012.02.022
Lifeng Wang, Yunpeng Ma, Zhijun Meng, Haar wavelet method for solving fractional partial differential equations numerically Applied Mathematics and Computation. ,vol. 227, pp. 66- 76 ,(2014) , 10.1016/J.AMC.2013.11.004
G. Hariharan, K. Kannan, K.R. Sharma, Haar wavelet method for solving Fisher's equation Applied Mathematics and Computation. ,vol. 211, pp. 284- 292 ,(2009) , 10.1016/J.AMC.2008.12.089
Yiming Chen, Mingxu Yi, Chunxiao Yu, Error analysis for numerical solution of fractional differential equation by Haar wavelets method Journal of Computational Science. ,vol. 3, pp. 367- 373 ,(2012) , 10.1016/J.JOCS.2012.04.008
Siraj-ul-Islam, Imran Aziz, Fazal Haq, A comparative study of numerical integration based on Haar wavelets and hybrid functions Computers & Mathematics with Applications. ,vol. 59, pp. 2026- 2036 ,(2010) , 10.1016/J.CAMWA.2009.12.005