实例介绍
【实例简介】
热传导方程有限差分法的MATLAB实现 适用于解决热传导方面的偏微分问题
MATLAB 29 end 0.45 数值解 ezzeros(M-1, 1) 数值解 0.35 for ii=2. M 0.3 0.25 ez(ii-1)=abs(u(ii, 1)-u(i1, 2))/u(ii, 2) 0.2 end 0.15 E=max(ez) 0 25 fprintf 1):di 00 0.40.6 (u); fprintf 图2数值解与准确解的比较 ); disp([num2str(E*100)%); 5 plot(x0,u(;1),r:,x0,u(:2).b-); MATLAB xlabel(x'), ylabel(u(x, t ), MATLAB title( 2005,19(4):76-80 0,1 0.001 ),2007,20(3):12-14 n 90 3 StephenJ Chapman MATLAB [ MI MATLAB LI ,2006,20(4): 12-13 .5723%。 MATLAB ),2003,22(4):21-27 2008,24(2):31-36 0 0 7 1.5990e-001 ),2004,34(3):16-18 2.9546e-001 2.9088e_001 MATLAB 3.8603e-001 3.8006e_001 ,2005,18(4):61-64 4.1784c-001 4.1137e-001 MATLAB UI 3.8603e-001 3.8006e-001 ,2008,21(3):1-2 2.9546e-001 2.9088e-001l 1.5990e_001 1.5742e_001 1979 5.0378e-017 川≤C5d,Gi≥1)(o ), 36) o1994-2010ChinaAcademicJournalElectronicPublishingIlouse.Allrightsreservedhttp://www.cnki.net 36 24 tion of organic pollutants on nitrogen and fluoride co-doped [12]Melendres C A. Raman spectroscopy of nanophase TiO2 11O photocatalyst [J]. Journal of Environmental Sciences, Sourceljj.Materials Research Bulletin, 1989, 4(5): 1 246-1 250 2005,17(1):76-80 [13]Parker J C, Siegel R W. Raman microprobe study of [9JOhno T, Akiyoshi M. Preparation of S-doped TiO2 photocata nanophase TiO2 and oxidation-induced spectral changes [J lysts and their photocatalytic activities under visible light [J] Materials Research Bulletin,, 1990, 5(6): 1 246-1 249 Applied CatalySis A: 2004, 265: 115-121 [14 Arai T, Yanagida M, Konishi Y. Efficient complete oxida- [10JUmebayashi T, Yamaki T. Analysis of electronic structures tion of acetaldehyde in to CO2 over CuB1204/WO3 composite of 3d transition metal-doped TiO, based on band calculations photocatalyst under visible and UV lignt irradiation [J]. Phys []. Journal of Physics and Chemistry of Solids, 2002, 63 cal Chemistry,2007,111(21):7574-7577 1909-1920. [11 Balachandran U, Eror N G. Laser-induced vapourphase syn thesis of titanium dioxide Journal of Solid State Chem Istry,1982.42:276-282 Preparation of Tio2 Photocatalyst Coupling Doped with S and N elements YU Zhan-jiang, WANG Xiao-fang (School of Chemistry and Chemical Engineering, Xianyang Normal University, Xianyang, Shaanxi 712000, China Abstract: Using tetrabutyl titanatc as Ti sourcc, glacial acetic acid as a hydrolyzed inhibitor and dL-mcthion- ine as a small molecule dopant, a TiO2 photocatalyst coupling doped with s and n nonmetallic elements was pre pared via Sol-Gel method. XPS analysis shows that N incorporates into the T1O2 crystal lattice and replaced partly 02, and that the S and $2- also incorporate into thc TiO2 crystal lattice and substitute partial Ti4* and 02- respec tively. Hence the formation of S and n coupling-doping on TiO2 gets achieved. XRd diffraction indicates the s and n coupling doped TiO2 photocatalysts all exist in the phase of anatase, which demonstrate that S and n cou- pling-doping features stronger effect on restraining the T1O2 crystal phase transformation from anatase to rutile Optical property analysis presents that the S and N coupling-doping has effect not only on extending absorption edge of photocatalyst to visible light region but on keeping the ultraviolet light absorption nearly unchanged Key words: photocatalyst; coupling-doping; titanium dioxide; Sol-Gel 29) Heat Conduction Equation Finite Difference Method to Achieve the MATLAB SHI Ce ( School of Science, Xi'an University of Architecture and Technology, Xi'an, Shaanxi 710055, China Abstract: For bounded homogeneous heat conduction equation of the mixed problem, separation of variables method used is often very complex. In order to better understand the heat conduction equation, it is useful to apply the matlab software equation by images expression. Though which transforms through the region, which is pro- gramming using MATLAB heat conduction equation of a certain region of the finite difference method, and numer- ical method demonstrates the feasibility and stability Key words: heat conduction equation; finite difference; MATLAB o1994-2010ChinaAcademicJournalElectronicPublishingIlouse.Allrightsreservedhttp://www.cnki.net 【实例截图】
【核心代码】
热传导方程有限差分法的MATLAB实现 适用于解决热传导方面的偏微分问题
MATLAB 29 end 0.45 数值解 ezzeros(M-1, 1) 数值解 0.35 for ii=2. M 0.3 0.25 ez(ii-1)=abs(u(ii, 1)-u(i1, 2))/u(ii, 2) 0.2 end 0.15 E=max(ez) 0 25 fprintf 1):di 00 0.40.6 (u); fprintf 图2数值解与准确解的比较 ); disp([num2str(E*100)%); 5 plot(x0,u(;1),r:,x0,u(:2).b-); MATLAB xlabel(x'), ylabel(u(x, t ), MATLAB title( 2005,19(4):76-80 0,1 0.001 ),2007,20(3):12-14 n 90 3 StephenJ Chapman MATLAB [ MI MATLAB LI ,2006,20(4): 12-13 .5723%。 MATLAB ),2003,22(4):21-27 2008,24(2):31-36 0 0 7 1.5990e-001 ),2004,34(3):16-18 2.9546e-001 2.9088e_001 MATLAB 3.8603e-001 3.8006e_001 ,2005,18(4):61-64 4.1784c-001 4.1137e-001 MATLAB UI 3.8603e-001 3.8006e-001 ,2008,21(3):1-2 2.9546e-001 2.9088e-001l 1.5990e_001 1.5742e_001 1979 5.0378e-017 川≤C5d,Gi≥1)(o ), 36) o1994-2010ChinaAcademicJournalElectronicPublishingIlouse.Allrightsreservedhttp://www.cnki.net 36 24 tion of organic pollutants on nitrogen and fluoride co-doped [12]Melendres C A. Raman spectroscopy of nanophase TiO2 11O photocatalyst [J]. Journal of Environmental Sciences, Sourceljj.Materials Research Bulletin, 1989, 4(5): 1 246-1 250 2005,17(1):76-80 [13]Parker J C, Siegel R W. Raman microprobe study of [9JOhno T, Akiyoshi M. Preparation of S-doped TiO2 photocata nanophase TiO2 and oxidation-induced spectral changes [J lysts and their photocatalytic activities under visible light [J] Materials Research Bulletin,, 1990, 5(6): 1 246-1 249 Applied CatalySis A: 2004, 265: 115-121 [14 Arai T, Yanagida M, Konishi Y. Efficient complete oxida- [10JUmebayashi T, Yamaki T. Analysis of electronic structures tion of acetaldehyde in to CO2 over CuB1204/WO3 composite of 3d transition metal-doped TiO, based on band calculations photocatalyst under visible and UV lignt irradiation [J]. Phys []. Journal of Physics and Chemistry of Solids, 2002, 63 cal Chemistry,2007,111(21):7574-7577 1909-1920. [11 Balachandran U, Eror N G. Laser-induced vapourphase syn thesis of titanium dioxide Journal of Solid State Chem Istry,1982.42:276-282 Preparation of Tio2 Photocatalyst Coupling Doped with S and N elements YU Zhan-jiang, WANG Xiao-fang (School of Chemistry and Chemical Engineering, Xianyang Normal University, Xianyang, Shaanxi 712000, China Abstract: Using tetrabutyl titanatc as Ti sourcc, glacial acetic acid as a hydrolyzed inhibitor and dL-mcthion- ine as a small molecule dopant, a TiO2 photocatalyst coupling doped with s and n nonmetallic elements was pre pared via Sol-Gel method. XPS analysis shows that N incorporates into the T1O2 crystal lattice and replaced partly 02, and that the S and $2- also incorporate into thc TiO2 crystal lattice and substitute partial Ti4* and 02- respec tively. Hence the formation of S and n coupling-doping on TiO2 gets achieved. XRd diffraction indicates the s and n coupling doped TiO2 photocatalysts all exist in the phase of anatase, which demonstrate that S and n cou- pling-doping features stronger effect on restraining the T1O2 crystal phase transformation from anatase to rutile Optical property analysis presents that the S and N coupling-doping has effect not only on extending absorption edge of photocatalyst to visible light region but on keeping the ultraviolet light absorption nearly unchanged Key words: photocatalyst; coupling-doping; titanium dioxide; Sol-Gel 29) Heat Conduction Equation Finite Difference Method to Achieve the MATLAB SHI Ce ( School of Science, Xi'an University of Architecture and Technology, Xi'an, Shaanxi 710055, China Abstract: For bounded homogeneous heat conduction equation of the mixed problem, separation of variables method used is often very complex. In order to better understand the heat conduction equation, it is useful to apply the matlab software equation by images expression. Though which transforms through the region, which is pro- gramming using MATLAB heat conduction equation of a certain region of the finite difference method, and numer- ical method demonstrates the feasibility and stability Key words: heat conduction equation; finite difference; MATLAB o1994-2010ChinaAcademicJournalElectronicPublishingIlouse.Allrightsreservedhttp://www.cnki.net 【实例截图】
【核心代码】
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