Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations
In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method, homotopy perturbation transform method, Adomian deco...
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| Vydáno v: | Journal of Taibah University for Science Ročník 14; číslo 1; s. 346 - 358 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Taylor & Francis
01.01.2020
Taylor & Francis Group |
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| ISSN: | 1658-3655, 1658-3655 |
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| Abstract | In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method, homotopy perturbation transform method, Adomian decomposition method, and modified variational iteration method are carried out, which show that the proposed algorithm (MVIA-II) is robust one. Some nonlinear Parabolic equations are given to demonstrate the implementation and accuracy of the MVIA-II. |
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| AbstractList | In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method, homotopy perturbation transform method, Adomian decomposition method, and modified variational iteration method are carried out, which show that the proposed algorithm (MVIA-II) is robust one. Some nonlinear Parabolic equations are given to demonstrate the implementation and accuracy of the MVIA-II. |
| Author | Seadawy, Aly R. Khan, Tufail A. Ahmad, Hijaz Thounthong, Phatiphat |
| Author_xml | – sequence: 1 givenname: Hijaz surname: Ahmad fullname: Ahmad, Hijaz organization: Department of Basic Sciences, University of Engineering and Technology – sequence: 2 givenname: Aly R. orcidid: 0000-0002-7412-4773 surname: Seadawy fullname: Seadawy, Aly R. email: aly742001@yahoo.com organization: Mathematics Department, Faculty of Science, Taibah University – sequence: 3 givenname: Tufail A. surname: Khan fullname: Khan, Tufail A. organization: Department of Basic Sciences, University of Engineering and Technology – sequence: 4 givenname: Phatiphat orcidid: 0000-0002-1453-4236 surname: Thounthong fullname: Thounthong, Phatiphat organization: Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, Renewable Energy Research Centre, King Mongkut's University of Technology North Bangkok |
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| Cites_doi | 10.1016/j.rinp.2015.07.001 10.11121/ijocta.01.2019.00561 10.1143/ptp/86.4.759 10.1016/j.camwa.2006.12.083 10.1080/10407782.2019.1580053 10.1016/j.anihpc.2014.03.005 10.1016/j.amc.2008.12.089 10.1016/j.cnsns.2008.07.019 10.1016/j.amc.2007.11.001 10.1016/j.ijheatmasstransfer.2014.04.020 10.1080/23311940.2016.1240886 10.1016/j.jtusci.2016.06.002 10.1016/j.amc.2006.11.013 10.1016/j.amc.2003.10.050 10.1016/j.procs.2010.12.171 10.1016/j.aej.2016.04.024 10.1016/j.joes.2019.05.003 10.1016/j.chaos.2015.07.018 10.1016/j.chaos.2006.03.031 10.1016/j.amc.2010.03.093 10.1007/s12043-017-1446-4 10.1016/j.aml.2018.09.013 10.1016/j.tsep.2019.01.009 10.1111/j.1469-1809.1937.tb02153.x 10.1016/j.amc.2012.02.035 10.12988/imf.2006.06132 10.1007/s00232-014-9638-z 10.1137/S0036139997325497 10.1007/s10910-010-9724-0 10.1177/1461348418823126 10.1142/S0219876218500172 10.1016/S0096-3003(03)00738-0 10.1088/1402-4896/ab6070 10.1080/16583655.2019.1680170 10.1016/j.jtusci.2016.11.004 10.1007/s10910-019-01063-8 10.3390/axioms8040119 10.1016/j.rinp.2018.01.053 10.1007/s12190-008-0212-7 10.3934/ipi.2013.7.679 10.1007/s00009-017-0916-8 10.1016/j.aej.2015.05.005 10.1016/j.rinp.2018.01.062 10.1016/j.physleta.2016.02.002 10.1016/j.rinp.2017.12.008 10.1016/j.cam.2018.02.026 10.1002/nme.5953 |
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| References | e_1_3_2_49_1 e_1_3_2_20_1 e_1_3_2_41_1 e_1_3_2_22_1 e_1_3_2_24_1 Tuckwell HC. (e_1_3_2_31_1) 1988 e_1_3_2_45_1 e_1_3_2_26_1 e_1_3_2_47_1 e_1_3_2_62_1 Prakash A (e_1_3_2_63_1) 2016; 6 e_1_3_2_16_1 e_1_3_2_39_1 e_1_3_2_9_1 e_1_3_2_18_1 e_1_3_2_7_1 He J-H (e_1_3_2_56_1) 2010; 1 e_1_3_2_54_1 e_1_3_2_33_1 e_1_3_2_52_1 e_1_3_2_12_1 e_1_3_2_35_1 Nadeem M (e_1_3_2_43_1) 2019; 87 e_1_3_2_58_1 e_1_3_2_14_1 e_1_3_2_37_1 e_1_3_2_3_1 e_1_3_2_50_1 Ji B (e_1_3_2_10_1) 2019; 343 He J-H. (e_1_3_2_59_1) 2019; 82 e_1_3_2_27_1 e_1_3_2_29_1 Rafiq M (e_1_3_2_17_1) 2018; 4 e_1_3_2_65_1 e_1_3_2_21_1 e_1_3_2_44_1 e_1_3_2_23_1 e_1_3_2_46_1 e_1_3_2_48_1 Ahmad H. (e_1_3_2_42_1) 2018; 9 He J-H. (e_1_3_2_60_1) 2019; 27 e_1_3_2_61_1 e_1_3_2_40_1 Inokuti M (e_1_3_2_55_1) 1978 e_1_3_2_38_1 e_1_3_2_8_1 e_1_3_2_19_1 Kheiri H (e_1_3_2_4_1) 2011; 5 Zellal M (e_1_3_2_64_1) 2017; 3 e_1_3_2_2_1 Antoniou SM. (e_1_3_2_28_1) 2009; 369 e_1_3_2_11_1 e_1_3_2_32_1 e_1_3_2_53_1 e_1_3_2_6_1 e_1_3_2_13_1 Frank-Kamenetskii DA. (e_1_3_2_30_1) 2016 e_1_3_2_34_1 e_1_3_2_36_1 e_1_3_2_57_1 e_1_3_2_51_1 He J-H. (e_1_3_2_5_1) 2020; 6 Nur Alam M (e_1_3_2_15_1) 2015; 17 Chen Y (e_1_3_2_25_1) 2019; 361 |
| References_xml | – volume: 343 start-page: 100 year: 2019 ident: e_1_3_2_10_1 article-title: Error estimates of exponential wave integrator Fourier pseudospectral methods for the nonlinear Schrödinger equation publication-title: Appl Math Comput – ident: e_1_3_2_16_1 doi: 10.1016/j.rinp.2015.07.001 – ident: e_1_3_2_20_1 doi: 10.11121/ijocta.01.2019.00561 – ident: e_1_3_2_27_1 doi: 10.1143/ptp/86.4.759 – ident: e_1_3_2_57_1 doi: 10.1016/j.camwa.2006.12.083 – ident: e_1_3_2_14_1 doi: 10.1080/10407782.2019.1580053 – ident: e_1_3_2_22_1 doi: 10.1016/j.anihpc.2014.03.005 – ident: e_1_3_2_33_1 doi: 10.1016/j.amc.2008.12.089 – ident: e_1_3_2_9_1 doi: 10.1016/j.cnsns.2008.07.019 – ident: e_1_3_2_11_1 doi: 10.1016/j.amc.2007.11.001 – ident: e_1_3_2_12_1 doi: 10.1016/j.ijheatmasstransfer.2014.04.020 – ident: e_1_3_2_21_1 doi: 10.1080/23311940.2016.1240886 – ident: e_1_3_2_44_1 doi: 10.1016/j.jtusci.2016.06.002 – ident: e_1_3_2_8_1 doi: 10.1016/j.amc.2006.11.013 – volume-title: Diffusion and heat exchange in chemical kinetics year: 2016 ident: e_1_3_2_30_1 – ident: e_1_3_2_2_1 doi: 10.1016/j.amc.2003.10.050 – ident: e_1_3_2_26_1 doi: 10.1016/j.procs.2010.12.171 – ident: e_1_3_2_51_1 doi: 10.1016/j.aej.2016.04.024 – ident: e_1_3_2_52_1 doi: 10.1016/j.joes.2019.05.003 – ident: e_1_3_2_6_1 doi: 10.1016/j.chaos.2015.07.018 – ident: e_1_3_2_35_1 doi: 10.1016/j.chaos.2006.03.031 – volume: 9 start-page: 62 issue: 1 year: 2018 ident: e_1_3_2_42_1 article-title: Auxiliary parameter in the variational iteration algorithm-II and its optimal determination publication-title: Nonlinear Sci Lett A – ident: e_1_3_2_62_1 doi: 10.1016/j.amc.2010.03.093 – volume: 5 start-page: 33 issue: 1 year: 2011 ident: e_1_3_2_4_1 article-title: Homotopy analysis and Homotopy-Pade methods for the modified Burgers-Korteweg-de-Vries and the Newell Whitehead equation publication-title: Math Sci – ident: e_1_3_2_54_1 doi: 10.1007/s12043-017-1446-4 – volume-title: Introduction to theoretical neurobiology year: 1988 ident: e_1_3_2_31_1 – ident: e_1_3_2_24_1 doi: 10.1016/j.aml.2018.09.013 – ident: e_1_3_2_3_1 doi: 10.1016/j.tsep.2019.01.009 – volume: 4 start-page: 835 year: 2018 ident: e_1_3_2_17_1 article-title: Variational iteration method with an auxiliary parameter for solving Volterra’s population model publication-title: Nonlinear Sci. – ident: e_1_3_2_29_1 doi: 10.1111/j.1469-1809.1937.tb02153.x – volume-title: General use of the Lagrange multiplier in nonlinear mathematical physics year: 1978 ident: e_1_3_2_55_1 – ident: e_1_3_2_34_1 doi: 10.1016/j.amc.2012.02.035 – ident: e_1_3_2_36_1 doi: 10.12988/imf.2006.06132 – ident: e_1_3_2_19_1 doi: 10.1007/s00232-014-9638-z – ident: e_1_3_2_32_1 doi: 10.1137/S0036139997325497 – ident: e_1_3_2_18_1 doi: 10.1007/s10910-010-9724-0 – volume: 82 start-page: 481 year: 2019 ident: e_1_3_2_59_1 article-title: A modified Li-He’s variational principle for plasma publication-title: Int J Numer Methods Heat Fluid Flow – volume: 6 start-page: 738 issue: 3 year: 2016 ident: e_1_3_2_63_1 article-title: He’s variational iteration method for the solution of nonlinear Newell–Whitehead–Segel equation publication-title: J Appl Anal Comput – volume: 17 start-page: 6 year: 2015 ident: e_1_3_2_15_1 article-title: Some new exact traveling wave solutions to the simplified MCH equation and the (1+1)-dimensional combined KdV-mKdV equations publication-title: J Assoc Arab Univ Basic Appl Sci – volume: 361 start-page: 112574 year: 2019 ident: e_1_3_2_25_1 article-title: Recovery type a posteriori error estimation of adaptive finite element method for Allen–Cahn equation publication-title: J Comput Appl Math – ident: e_1_3_2_39_1 doi: 10.1177/1461348418823126 – ident: e_1_3_2_50_1 doi: 10.1142/S0219876218500172 – ident: e_1_3_2_38_1 doi: 10.1016/S0096-3003(03)00738-0 – ident: e_1_3_2_41_1 doi: 10.1088/1402-4896/ab6070 – ident: e_1_3_2_46_1 doi: 10.1080/16583655.2019.1680170 – ident: e_1_3_2_49_1 doi: 10.1016/j.jtusci.2016.11.004 – ident: e_1_3_2_61_1 doi: 10.1007/s10910-019-01063-8 – ident: e_1_3_2_40_1 doi: 10.3390/axioms8040119 – ident: e_1_3_2_47_1 doi: 10.1016/j.rinp.2018.01.053 – ident: e_1_3_2_65_1 doi: 10.1007/s12190-008-0212-7 – ident: e_1_3_2_7_1 doi: 10.3934/ipi.2013.7.679 – ident: e_1_3_2_58_1 doi: 10.1007/s00009-017-0916-8 – volume: 87 start-page: 2025 year: 2019 ident: e_1_3_2_43_1 article-title: Modified Laplace variational iteration method for solving fourth-order parabolic partial differential equation with variable coefficients publication-title: Comput Math Appl – ident: e_1_3_2_53_1 doi: 10.1016/j.aej.2015.05.005 – volume: 6 start-page: 735 issue: 4 year: 2020 ident: e_1_3_2_5_1 article-title: Variational principle for the generalized KdV-Burgers equation with fractal derivatives for shallow water waves publication-title: J Appl Comput Mech – volume: 369 start-page: 93 issue: 1 year: 2009 ident: e_1_3_2_28_1 article-title: The Riccati equation method with variable expansion coefficients. III. Solving the Newell-Whitehead equation publication-title: Differ Equations Appl – ident: e_1_3_2_48_1 doi: 10.1016/j.rinp.2018.01.062 – ident: e_1_3_2_37_1 doi: 10.1016/j.physleta.2016.02.002 – volume: 1 start-page: 1 issue: 1 year: 2010 ident: e_1_3_2_56_1 article-title: The variational iteration method which should be followed publication-title: Nonlinear Sci Lett A – ident: e_1_3_2_45_1 doi: 10.1016/j.rinp.2017.12.008 – volume: 27 start-page: 427 year: 2019 ident: e_1_3_2_60_1 article-title: Lagrange crisis and generalized variational principle for 3D unsteady flow publication-title: Int J Numer Methods Heat Fluid Flow – ident: e_1_3_2_23_1 doi: 10.1016/j.cam.2018.02.026 – volume: 3 start-page: 258 issue: 1 year: 2017 ident: e_1_3_2_64_1 article-title: Applications of homotopy perturbation transform method for solving Newell-Whitehead-Segel equation publication-title: Gen Lett Math – ident: e_1_3_2_13_1 doi: 10.1002/nme.5953 |
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| SubjectTerms | algorithms Allen-Cahn equation equations Fisher equations Modified variational iteration algorithm-II MVIA-I Newell-Whitehead equation universities |
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| Title | Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations |
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