[1]
|
S. Inoue, “In Organic and Bioorganic Chemistry of Carbon Dioxide,” In: S. Inoue and N. Amazaki, Eds., Kodansha Ltd., Tokyo, 1982.
|
[2]
|
W. J. Peppel, “Preparation and Properties of the Alkylene Carbonates,” Industrial and Engineering Chemical Research, Vol. 50, No. 5, 1958, pp. 767-770.
doi:10.1021/ie50581a030
|
[3]
|
N. Kihara, N. Hara and T. Endo, “Catalytic Activity of Various Salts in the Reaction of 2,3-Epoxypropyl Phenyl Ether and Carbon Dioxide under Atmospheric Pressure,” The Journal of Organic Chemistry, Vol. 58, No. 23, 1993, pp. 6198-6202. doi:10.1021/jo00075a011
|
[4]
|
G. Rokicki, “Cyclic Dicarbonates as New Monomers for the Synthesis of Poly(hydroxy ether)s,” Die Makromolekulare Chemie, Vol. 186, No. 2, 1985, pp. 331-337.
doi:10.1002/macp.1985.021860212
|
[5]
|
Y. S. Choe, K. J. Oh, M. C. Kim and S. W. Park, “Chemical Absorption of Carbon Dioxide into Phenyl Glycidyl Ether Solution Containing THA-CP-MS41 Catalyst,” Korean Journal of Chemical Engineering, Vol. 27, No. 6, 2010, pp. 1868-1875. doi:10.1007/s11814-010-0309-1
|
[6]
|
G. Adomian, “Convergent Series Solution of Nonlinear Equations,” Journal of Computational and Applied Mathematics, Vol. 11, No. 2, 1984, pp. 225-230.
doi:10.1016/0377-0427(84)90022-0
|
[7]
|
A. Patela and S. E. Serrano, “Decomposition Solution of Multidimensional Groundwater Equations,” Journal of Hydrology, Vol. 397, No. 3-4, 2011, pp. 202-209.
doi:10.1016/j.jhydrol.2010.11.032
|
[8]
|
M. A. Mohamed, “Comparison Differential Transformation Technique with Adomian Decomposition Method for Dispersive Long-Wave Equations in (2+1)-Dimensions,” Applications and Applied Mathematics, Vol. 5, No. 1, 2010, pp. 148-166.
|
[9]
|
O. K. Jaradat, “Adomian Decomposition Method for Solving Abelian Differential Equations,” Journal of Applied Sciences, Vol. 8, No. 10, 2008, pp. 1962-1966.
doi:10.3923/jas.2008.1962.1966
|
[10]
|
A. M. Siddiquia, M. Hameed, B. M. Siddiquic and Q. K. Ghoric, “Use of Adomian Decomposition Method in the Study of Parallel Plate Flow of a Third Grade Fluid,” Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 9, 2010, pp. 2388-2399.
doi:10.1016/j.cnsns.2009.05.073
|
[11]
|
K. Indira and L. Rajendran, “Analytical Expression of Non Steady-State Concentration for the CE Mechanism at a Planar Electrode,” Journal of Mathematical Chemistry, Vol. 50, No. 5, 2012 pp. 1277-1288.
doi:10.1007/s10910-011-9968-3
|
[12]
|
M. U. Maheswari and L. Rajendran, “Analytical Solution of Nonlinear Enzyme Reaction Equations Arising in Mathematical Chemistry,” Journal of Mathematical Chemistry, Vol. 49, No. 8, 2011, pp. 1713-1726.
doi:10.1007/s10910-011-9853-0
|
[13]
|
A. Meena and L. Rajendran, “Mathematical Modeling of Amperometric and Potentiometric Biosensors and System of Nonlinear Equations—Homotopy Perturbation Approach,” Journal of Electroanalytical Chemistry, Vol. 644, No. 1, 2010, pp. 50-59.
doi:10.1016/j.jelechem.2010.03.027
|
[14]
|
V. M. PonRani and L. Rajendran, “Mathematical Modelling of Steady-State Concentration in Immobilized Glucose Isomerase of Packed—Bed Reactors,” Journal of Mathematical Chemistry, Vol. 50, No. 5, 2012, pp. 1333-1346. doi:10.1007/s10910-011-9973-6
|
[15]
|
S. Anitha, A. Subbiah, S. Subramaniam and L. Rajendran, “Analytical Solution of Amperometric Enzymatic Reactions Based on Homotopy Perturbation Method,” Electrochimica Acta, Vol. 56, No. 9, 2011, pp. 3345-3352.
doi:10.1016/j.electacta.2011.01.014
|
[16]
|
S. J. Liao, “The Proposed Homotopy Analysis Technique for the Solution of Nonlinear Problems,” Ph.D. Thesis, Shanghai Jiao Tong University, Shanghai, 1992.
|
[17]
|
S. J. Liao, “On the Homotopy Anaylsis Method for Nonlinear Problems,” Applied Mathematics and Computation, Vol. 147, No. 2, 2004, pp. 499-513.
doi:10.1016/S0096-3003(02)00790-7
|
[18]
|
S. J. Liao, “Comparison between the Homotopy Analysis Method and Homotopy Perturbation Method,” Applied Mathematics and Computation, Vol. 169, No. 2, 2005, pp. 1186-1194. doi:10.1016/j.amc.2004.10.058
|
[19]
|
S. J. Liao, “A New Branch of Solutions of BoundaryLayer Flows over an Impermeable Stretched Plate,” International Journal of Heat and Mass Transfer, Vol. 48, No. 12, 2005, pp. 2529-2539.
doi:10.1016/j.ijheatmasstransfer.2005.01.005
|
[20]
|
S. J. Liao, “Beyond Perturbation: Introduction to the Homotopy Analysis Method,” CRC Press, Chapman & Hall, Boca Raton, 2003. doi:10.1201/9780203491164
|
[21]
|
S. J. Liao, “An Explicit, Totally Analytic Approximation of Blasius Viscous Flow Problems,” International Journal of Non-Linear Mechanics, Vol. 34, No. 4, 1999, pp. 759-778. doi:10.1016/S0020-7462(98)00056-0
|
[22]
|
A. M. Wazwaza and A. Gorguisb, “An Analytic Study of Fisher’s Equation by Using Adomian Decomposition Method,” Applied Mathematics and Computation, Vol. 154, No. 3, 2004, pp. 609-620.
doi:10.1016/S0096-3003(03)00738-0
|
[23]
|
J. Biazar and R. Islam, “Solution of Wave Equation by Adomian Decomposition Method and the Restrictions of the Method,” Applied Mathematics and Computation, Vol. 149, No. 3, 2004, pp. 807-814.
doi:10.1016/S0096-3003(03)00186-3
|
[24]
|
N. H. Sweilama and M. M. Khaderb, “Approximate Solutions to the Nonlinear Vibrations of Multiwalled Carbon Nanotubes Using Adomian Decomposition Method,” Applied Mathematics and Computation, Vol. 217, No. 2, 2010, pp. 495-505. doi:10.1016/j.amc.2010.05.082
|
[25]
|
G. Adomian, “Solving the Mathematical Models of Neurosciences and Medicine,” Mathematics and Computers in Simulation, Vol. 40, No. 1-2, 1995, pp. 107-114.
doi:10.1016/0378-4754(95)00021-8
|
[26]
|
G. Adomian, “Computation of Solutions to the Generalized Michaelis-Menton Equation,” Applied Mathematics Letters, Vol. 7, No. 4, 1994, pp. 45-48.
doi:10.1016/0893-9659(94)90009-4
|
[27]
|
O. D. Makinde, “Adomian Decomposition Approach to a SIR Epidemic Model with Constant Vaccination Strategy,” Applied Mathematics and Computation, Vol. 184, No. 2, 2007, pp. 842-848. doi:10.1016/j.amc.2006.06.074
|