TY - JOUR AU - Barrio, R. AU - Rodriguez, M. AU - Abad, A. AU - Blesa, F. PY - 2011 DA - 2011// TI - Breaking the limits: the taylor series method JO - Appl Math Comput VL - 217 UR - https://doi.org/10.1016/j.amc.2011.02.080 DO - 10.1016/j.amc.2011.02.080 ID - Barrio2011 ER - TY - JOUR AU - Chang, S. H. PY - 2010 DA - 2010// TI - A variational iteration method for solving troesch’s problem JO - J Comput Appl Math VL - 234 UR - https://doi.org/10.1016/j.cam.2010.04.018 DO - 10.1016/j.cam.2010.04.018 ID - Chang2010 ER - TY - JOUR AU - Duan, J. -. S. AU - Rach, R. PY - 2011 DA - 2011// TI - A new modification of the adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations JO - Appl Math Comput VL - 218 UR - https://doi.org/10.1016/j.amc.2011.09.037 DO - 10.1016/j.amc.2011.09.037 ID - Duan2011 ER - TY - JOUR AU - Filobello-Nino, U. AU - Vazquez-Leal, H. AU - Khan, Y. AU - Castaneda-Sheissa, R. AU - Yildirim, A. AU - Hernandez-Martinez, L. AU - Sanchez-Orea, J. AU - Castaneda-Sheissa, R. AU - Bernal, F. R. PY - 2012a DA - 2012a// TI - Hpm applied to solve nonlinear circuits: a study case JO - Appl Math Sci VL - 6 ID - Filobello-Nino2012a ER - TY - JOUR AU - Filobello-Nino, U. AU - Vazquez-Leal, H. AU - Castaneda-Sheissa, R. AU - Yildirim, A. AU - Hernandez-Martinez, L. AU - Pereyra-Diaz, D. AU - Perez-Sesma, A. AU - Hoyos-Reyes, C. PY - 2012b DA - 2012b// TI - An approximate solution of blasius equation by using hpm method JO - Asian J Math Stat VL - 5 UR - https://doi.org/10.3923/ajms.2012.50.59 DO - 10.3923/ajms.2012.50.59 ID - Filobello-Nino2012b ER - TY - JOUR AU - Filobello-Nino, U. AU - Vazquez-Leal, H. AU - Khan, Y. AU - Yildirim, A. AU - Jimenez-Fernandez, V. M. AU - Herrera-May, A. L. AU - Castaneda-Sheissa, R. AU - Cervantes-Perez, J. PY - 2013 DA - 2013// TI - Perturbation method and laplace-padé approximation to solve nonlinear problems JO - Miskolc Math Notes VL - 14 ID - Filobello-Nino2013 ER - TY - JOUR AU - Hassana, H. N. AU - El-Tawil, M. A. PY - 2011 DA - 2011// TI - An efficient analytic approach for solving two-point nonlinear boundary value problems by homotopy analysis method JO - Math Methods Appl Sci VL - 34 UR - https://doi.org/10.1002/mma.1416 DO - 10.1002/mma.1416 ID - Hassana2011 ER - TY - JOUR AU - He, J. -. H. PY - 1999 DA - 1999// TI - Homotopy perturbation technique JO - Comput Methods Appl Mech Eng VL - 178 UR - https://doi.org/10.1016/S0045-7825(99)00018-3 DO - 10.1016/S0045-7825(99)00018-3 ID - He1999 ER - TY - JOUR AU - He, J. -. H. PY - 2004 DA - 2004// TI - Comparison of homotopy perturbation method and homotopy analysis method JO - Appl Math Comput VL - 156 UR - https://doi.org/10.1016/j.amc.2003.08.008 DO - 10.1016/j.amc.2003.08.008 ID - He2004 ER - TY - JOUR AU - He, J. -. H. PY - 2009 DA - 2009// TI - An elementary introduction to the homotopy perturbation method JO - Comput Math Appl VL - 57 UR - https://doi.org/10.1016/j.camwa.2008.06.003 DO - 10.1016/j.camwa.2008.06.003 ID - He2009 ER - TY - JOUR AU - Khan, Y. AU - Vazquez-Leal, H. AU - Hernandez-Martinez, L. AU - Faraz, N. PY - 2012 DA - 2012// TI - Variational iteration algorithm-ii for solving linear and non-linear odes JO - Int J Phys Sci VL - 7 UR - https://doi.org/10.5897/IJPS12.258 DO - 10.5897/IJPS12.258 ID - Khan2012 ER - TY - JOUR AU - Khan, Y. AU - Vazquez-Leal, H. AU - Wu, Q. PY - 2013 DA - 2013// TI - An efficient iterated method for mathematical biology model JO - Neural Comput Appl VL - 23 UR - https://doi.org/10.1007/s00521-012-0952-z DO - 10.1007/s00521-012-0952-z ID - Khan2013 ER - TY - JOUR AU - Rodriguez, M. AU - Barrio, R. PY - 2012 DA - 2012// TI - Reducing rounding errors and achieving brouwers law with taylor series method JO - Appl Numerical Math VL - 62 UR - https://doi.org/10.1016/j.apnum.2012.03.008 DO - 10.1016/j.apnum.2012.03.008 ID - Rodriguez2012 ER - TY - JOUR AU - Scott, M. R. AU - Vandevender, W. H. PY - 1975 DA - 1975// TI - A comparison of several invariant imbedding algorithms for the solution of two-point boundary-value problems JO - Appl Math Comput VL - 1 UR - https://doi.org/10.1016/0096-3003(75)90033-8 DO - 10.1016/0096-3003(75)90033-8 ID - Scott1975 ER - TY - BOOK AU - Stoer, J. AU - Bulirsch, R. PY - 2002 DA - 2002// TI - Introduction to numerical analysis PB - Springer CY - New York UR - https://doi.org/10.1007/978-0-387-21738-3 DO - 10.1007/978-0-387-21738-3 ID - Stoer2002 ER - TY - JOUR AU - Shiraishi, F. AU - Egashira, M. AU - Iwata, M. PY - 2011 DA - 2011// TI - Highly accurate computation of dynamic sensitivities in metabolic reaction systems by a taylor series method JO - Math Biosci VL - 233 UR - https://doi.org/10.1016/j.mbs.2011.06.004 DO - 10.1016/j.mbs.2011.06.004 ID - Shiraishi2011 ER - TY - JOUR AU - Tan, Y. AU - Abbasbandy, S. PY - 2008 DA - 2008// TI - Homotopy analysis method for quadratic riccati differential equation JO - Commun Nonlinear Sci Numerical Simul VL - 13 UR - https://doi.org/10.1016/j.cnsns.2006.06.006 DO - 10.1016/j.cnsns.2006.06.006 ID - Tan2008 ER - TY - JOUR AU - Vazquez-Leal, H. PY - 2012 DA - 2012// TI - Rational homotopy perturbation method JO - J Appl Math VL - 2012 ID - Vazquez-Leal2012 ER - TY - JOUR AU - Vazquez-Leal, H. AU - Filobello-Nino, U. AU - Castaneda-Sheissa, R. AU - Hernandez-Martinez, L. AU - Sarmiento-Reyes, A. PY - 2012a DA - 2012a// TI - Modified hpms inspired by homotopy continuation methods JO - Math Probl Eng VL - 2012 ID - Vazquez-Leal2012a ER - TY - JOUR AU - Vazquez-Leal, H. AU - Sarmiento-Reyes, A. AU - Khan, Y. AU - Filobello-Nino, U. AU - Diaz-Sanchez, A. PY - 2012b DA - 2012b// TI - Rational biparameter homotopy perturbation method and laplace-padé coupled version JO - J Appl Math VL - 2012 ID - Vazquez-Leal2012b ER - TY - JOUR AU - Vazquez-Leal, H. AU - Castañeda-Sheissa, R. AU - Filobello-Niño, U. AU - Sarmiento-Reyes, A. AU - Sánchez-Orea, J. PY - 2012c DA - 2012c// TI - High accurate simple approximation of normal distribution related integrals JO - Math Probl Eng VL - 2012 ID - Vazquez-Leal2012c ER - TY - JOUR AU - Wazwaz, A. -. M. PY - 1998 DA - 1998// TI - A comparison between adomian decomposition method and taylor series method in the series solutions JO - Appl Math Comput VL - 97 UR - https://doi.org/10.1016/S0096-3003(97)10127-8 DO - 10.1016/S0096-3003(97)10127-8 ID - Wazwaz1998 ER -