MATLAB 5.0 MAT-file, Platform: PCWIN, Created on: Sat Nov 26 22:59:43 2005 IM hgS_070000 7typehandlepropertieschildrenspecial@ figure8 r@xUnitsColorColormapFileNameIntegerHandleInvertHardcopyMenuBarNameNumberTitlePaperPositionPositionHandleVisibilityTagUserDataApplicationDataBehaviorH charactersH ?======??0@ ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????7nC:\MFILES.KEA\Guide_Dir\Guide_NA.dir\Euler_Back_GUI.fig8off0on8nonePEuler_Back_GUI8offP ?@ @@P 43333Y@$@`f@;;I@@callback@figure10 GUIDEOptionslastValidTagactive_htaginfooverridereleaseresizeaccessibilitymfilecallbackssingletonsyscolorfigblockinglastSavedFile8 e@ Mfigurepopupmenueditpushbuttonlistboxaxestext000 000000 @ simple@callback000005jC:\MFILES.KEA\Guide_Dir\Guide_NA.dir\Euler_Back_GUI.m@figure18H 7typehandlepropertieschildrenspecialH uicontrol8 r@UnitsBackgroundColorCallbackPositionStringStyleValueCreateFcnTagApplicationDataBehaviorH normalized0<xEuler_Back_GUI('popupmenu_f_Callback',gcbo,[],guidata(gcbo))P f"z+?B"??Fu?̞?%Jc z + (d-c) cos(d x) - (d+c) sin(d x)8c zX((z + x^2 -2) / (x+1)`,c z + (d - c) exp(d x)H [cos(z)]^2@ c z^2`*c z (d - z) [d ~= 0]H popupmenu0=zEuler_Back_GUI('popupmenu_f_CreateFcn',gcbo,[],guidata(gcbo))H popupmenu_f  lastValidTagH popupmenu_f8H uicontrol8 a?UnitsBackgroundColorCallbackPositionStringStyleCreateFcnTagApplicationDataBehaviorH normalized0<xEuler_Back_GUI('Parameter_c_Callback',gcbo,[],guidata(gcbo))P Fu??Fu?̞?0-18edit=zEuler_Back_GUI('Parameter_c_CreateFcn',gcbo,[],guidata(gcbo))H Parameter_c  lastValidTagH Parameter_c8H uicontrol8 ?UnitsBackgroundColorCallbackPositionStringStyleCreateFcnTagApplicationDataBehaviorH normalized0;vEuler_Back_GUI('Endpoint_b_Callback',gcbo,[],guidata(gcbo))P jv*?aMO ?}?̞?82*pi8edit<xEuler_Back_GUI('Endpoint_b_CreateFcn',gcbo,[],guidata(gcbo))H Endpoint_b  lastValidTagH Endpoint_b8H uicontrol8 @UnitsBackgroundColorCallbackPositionStringStyleCreateFcnTagApplicationDataBehaviorH normalized09rEuler_Back_GUI('Stepsize_Callback',gcbo,[],guidata(gcbo))P jv*?}*w?}?̞?80.18edit:tEuler_Back_GUI('Stepsize_CreateFcn',gcbo,[],guidata(gcbo))@Stepsize  lastValidTag@Stepsize8H uicontrol8 @UnitsBackgroundColorCallbackFontSizePositionStringTagApplicationDataBehaviorH normalizedH ???AEuler_Back_GUI('Solve_Pushbutton_Callback',gcbo,[],guidata(gcbo))0 P #|p?E?q t?)?H SOLVE ODE00P Solve_Pushbutton  lastValidTagP Solve_Pushbutton8H uicontrol8 @HUnitsBackgroundColorCallbackFontNameFontSizePositionStringStyleValueCreateFcnTagApplicationDataBehaviorH normalized0:tEuler_Back_GUI('OutputBox_Callback',gcbo,[],guidata(gcbo))H fixedwidth0 P v?'g?s?"?X$Text Output Window0@listbox0;vEuler_Back_GUI('OutputBox_CreateFcn',gcbo,[],guidata(gcbo))H OutputBox  lastValidTagH OutputBox88axes8 @@PositionCameraPositionCameraPositionModeColorColorOrderLooseInsetXColorYColorZColorTagApplicationDataBehaviorP !I?v@?t?5= (X?H ??/7 R"@8auto0 ????????????P k\(?`(?S}?*m?000@ axes1  lastValidTag@ axes1808 7typehandlepropertieschildrenspecial8text8 @X 4UnitsFontUnitsBackgroundColorColorEdgeColorEraseModeDVIModeFontAngleFontNameFontSizeFontWeightHorizontalAlignmentLineStyleLineWidthMarginPositionRotationStringInterpreterVerticalAlignmentButtonDownFcnCreateFcnDeleteFcnBusyActionHandleVisibilityHelpTopicKeyHitTestInterruptibleSelectionHighlightSerializableTagUserDataApplicationDataBehaviorVisibleXLimIncludeYLimIncludeZLimIncludeCLimIncludeALimIncludeClipping8data@ points8none08none@ normal8auto@ normalH Helvetica0 @ normal@ center0-8 ?0H ?Ž,u?Gh@9?008tex@ bottom000@ queue8off00on0on0on0on00880on0on0on0on0on0on8off8text8 @P 4UnitsFontUnitsBackgroundColorColorEdgeColorEraseModeDVIModeFontAngleFontNameFontSizeFontWeightHorizontalAlignmentLineStyleLineWidthMarginPositionRotationStringInterpreterVerticalAlignmentButtonDownFcnCreateFcnDeleteFcnBusyActionHandleVisibilityHelpTopicKeyHitTestInterruptibleSelectionHighlightSerializableTagUserDataApplicationDataBehaviorVisibleXLimIncludeYLimIncludeZLimIncludeCLimIncludeALimIncludeClipping8data@ points8none08none@ normal8auto@ normalH Helvetica0 @ normal@ center0-8 ?0H {jR?M+Gh@9?008tex8cap000@ queue8off00on0on0on0on00880on0on0on0on0on0on8off8text8  @X 4UnitsFontUnitsBackgroundColorColorEdgeColorEraseModeDVIModeFontAngleFontNameFontSizeFontWeightHorizontalAlignmentLineStyleLineWidthMarginPositionRotationStringInterpreterVerticalAlignmentButtonDownFcnCreateFcnDeleteFcnBusyActionHandleVisibilityHelpTopicKeyHitTestInterruptibleSelectionHighlightSerializableTagUserDataApplicationDataBehaviorVisibleXLimIncludeYLimIncludeZLimIncludeCLimIncludeALimIncludeClipping8data@ points8none08none@ normal8auto@ normalH Helvetica0 @ normal@ center0-8 ?0H LɔLɴ(|?Gh@9?0Z08tex@ bottom000@ queue8off00on0on0on0on00880on0on0on0on0on0on8off8text8 "@` 4UnitsFontUnitsBackgroundColorColorEdgeColorEraseModeDVIModeFontAngleFontNameFontSizeFontWeightHorizontalAlignmentLineStyleLineWidthMarginPositionRotationStringInterpreterVerticalAlignmentButtonDownFcnCreateFcnDeleteFcnBusyActionHandleVisibilityHelpTopicKeyHitTestInterruptibleSelectionHighlightSerializableTagUserDataApplicationDataBehaviorVisibleXLimIncludeYLimIncludeZLimIncludeCLimIncludeALimIncludeClipping8data@ points8none08none@ normal8auto@ normalH Helvetica0 @ normal@ right0-8 ?0H  ¿ F@Gh@9?008tex@ middle000@ queue8off00on0on0on0on00888off0on0on0on0on0on8off08axes8 $@@PositionCameraPositionCameraPositionModeColorColorOrderLooseInsetXColorYColorZColorTagApplicationDataBehaviorP Kb?v@?t?5= (X?H ??/7 R"@8auto0 ????????????P k\(?`(?S}?*m?000@ axes2  lastValidTag@ axes2808 7typehandlepropertieschildrenspecial8text8 &@X 4UnitsFontUnitsBackgroundColorColorEdgeColorEraseModeDVIModeFontAngleFontNameFontSizeFontWeightHorizontalAlignmentLineStyleLineWidthMarginPositionRotationStringInterpreterVerticalAlignmentButtonDownFcnCreateFcnDeleteFcnBusyActionHandleVisibilityHelpTopicKeyHitTestInterruptibleSelectionHighlightSerializableTagUserDataApplicationDataBehaviorVisibleXLimIncludeYLimIncludeZLimIncludeCLimIncludeALimIncludeClipping8data@ points8none08none@ normal8auto@ normalH Helvetica0 @ normal@ center0-8 ?0H ?Ž,u?Gh@9?008tex@ bottom000@ queue8off00on0on0on0on00880on0on0on0on0on0on8off8text8 (@P 4UnitsFontUnitsBackgroundColorColorEdgeColorEraseModeDVIModeFontAngleFontNameFontSizeFontWeightHorizontalAlignmentLineStyleLineWidthMarginPositionRotationStringInterpreterVerticalAlignmentButtonDownFcnCreateFcnDeleteFcnBusyActionHandleVisibilityHelpTopicKeyHitTestInterruptibleSelectionHighlightSerializableTagUserDataApplicationDataBehaviorVisibleXLimIncludeYLimIncludeZLimIncludeCLimIncludeALimIncludeClipping8data@ points8none08none@ normal8auto@ normalH Helvetica0 @ normal@ center0-8 ?0H {jR?M+Gh@9?008tex8cap000@ queue8off00on0on0on0on00880on0on0on0on0on0on8off8text8 *@X 4UnitsFontUnitsBackgroundColorColorEdgeColorEraseModeDVIModeFontAngleFontNameFontSizeFontWeightHorizontalAlignmentLineStyleLineWidthMarginPositionRotationStringInterpreterVerticalAlignmentButtonDownFcnCreateFcnDeleteFcnBusyActionHandleVisibilityHelpTopicKeyHitTestInterruptibleSelectionHighlightSerializableTagUserDataApplicationDataBehaviorVisibleXLimIncludeYLimIncludeZLimIncludeCLimIncludeALimIncludeClipping8data@ points8none08none@ normal8auto@ normalH Helvetica0 @ normal@ center0-8 ?0H LɔLɴ(|?Gh@9?0Z08tex@ bottom000@ queue8off00on0on0on0on00880on0on0on0on0on0on8off8text8 ,@` 4UnitsFontUnitsBackgroundColorColorEdgeColorEraseModeDVIModeFontAngleFontNameFontSizeFontWeightHorizontalAlignmentLineStyleLineWidthMarginPositionRotationStringInterpreterVerticalAlignmentButtonDownFcnCreateFcnDeleteFcnBusyActionHandleVisibilityHelpTopicKeyHitTestInterruptibleSelectionHighlightSerializableTagUserDataApplicationDataBehaviorVisibleXLimIncludeYLimIncludeZLimIncludeCLimIncludeALimIncludeClipping8data@ points8none08none@ normal8auto@ normalH Helvetica0 @ normal@ right0-8 ?0H NN F@Gh@9?008tex@ middle000@ queue8off00on0on0on0on00888off0on0on0on0on0on8off0H uicontrol8 r@UnitsBackgroundColorFontSizePositionStringStyleTagApplicationDataBehaviorH normalized00P *o?7G?@◓?aR|?`*BACKWARD EULER METHOD8text@ text1  lastValidTag@ text18H uicontrol8 r@UnitsBackgroundColorPositionStringStyleTagApplicationDataBehaviorH normalized0P u`P?2s?J?qA?`,Choose function f(x,z)P to define ODE8text@ text2  lastValidTag@ text28H uicontrol8 r@UnitsBackgroundColorPositionStringStyleTagApplicationDataBehaviorH normalized0P .>[?:E?Pir?qA?X&Choose parameters cX(and d used in f(x,z)8text@ text3  lastValidTag@ text38H uicontrol8 r@UnitsBackgroundColorPositionStringStyleTagApplicationDataBehaviorH normalized0P jv*?`MO ?f"z+?qA?h8The interval for the problemX(is [0,b]. Choose b.8text@ text6  lastValidTag@ text68H uicontrol8 r@UnitsBackgroundColorFontSizePositionStringStyleTagApplicationDataBehaviorH normalized00 P %|5;O?J@?q t?V!:Q?PSolution graphs08text@ text9  lastValidTag@ text98H uicontrol8 s@UnitsBackgroundColorFontSizePositionStringStyleTagApplicationDataBehaviorH normalized00 P İj?J@?q t?V!:Q?H Error graphs08text@ text10  lastValidTag@ text108H uicontrol8 s@UnitsBackgroundColorPositionStringStyleTagApplicationDataBehaviorH normalized0P .>[?*w?JM?̞?X"Choose stepsize h08text@ text11  lastValidTag@ text118H uicontrol8  s@UnitsBackgroundColorCallbackPositionStringStyleCreateFcnTagApplicationDataBehaviorH normalized08pEuler_Back_GUI('Param_M_Callback',gcbo,[],guidata(gcbo))P Q&?0)?'c\+?̞?058edit9rEuler_Back_GUI('Param_M_CreateFcn',gcbo,[],guidata(gcbo))@Param_M  lastValidTag@Param_M8H uicontrol8 0s@UnitsBackgroundColorPositionStringStyleTagApplicationDataBehaviorH normalized0P >U*?}!?O\B,?qA?H Choose printH parameter M08text@ text13  lastValidTag@ text138H uicontrol8 @s@UnitsBackgroundColorPositionStringStyleTagApplicationDataBehaviorH normalizedH ??P m?gŸ ?X6?AA?x"DCopyright 2005 by Kendall Atkinson8text@ text14  lastValidTag@ text148H uicontrol8 Ps@UnitsBackgroundColorCallbackPositionStringStyleCreateFcnTagApplicationDataBehaviorH normalized0<xEuler_Back_GUI('Parameter_d_Callback',gcbo,[],guidata(gcbo))P Ks??Fu?̞?018edit=zEuler_Back_GUI('Parameter_d_CreateFcn',gcbo,[],guidata(gcbo))H Parameter_d  lastValidTagH Parameter_d8H uicontrol8 `s@0UnitsBackgroundColorPositionStringStyleTagApplicationDataBehaviorH normalized0P Fu??7Ck?̞?0c8text@ text15  lastValidTag@ text158H uicontrol8 ps@0UnitsBackgroundColorPositionStringStyleTagApplicationDataBehaviorH normalized0P K??7Ck?̞?0d8text@ text16  lastValidTag@ text168@ uimenu8 s@PCallbackLabelTagApplicationDataBehavior8pEuler_Back_GUI('FileTag_Callback',gcbo,[],guidata(gcbo))8File@FileTag  lastValidTag@FileTag8H 7typehandlepropertieschildrenspecial@ uimenu8 s@PCallbackLabelTagApplicationDataBehavior<xEuler_Back_GUI('TableOutput_Callback',gcbo,[],guidata(gcbo))h4Save table as output_EulerH TableOutput  lastValidTagH TableOutput8@ uimenu8 s@PCallbackLabelTagApplicationDataBehavior=zEuler_Back_GUI('LeftGraphTag_Callback',gcbo,[],guidata(gcbo))p @Save left graph as Solutions.epsH LeftGraphTag  lastValidTagH LeftGraphTag8@ uimenu8 s@PCallbackLabelTagApplicationDataBehavior>|Euler_Back_GUI('RightGraphTag_Callback',gcbo,[],guidata(gcbo))p<Save right graph as Errors.epsP RightGraphTag  lastValidTagP RightGraphTag8@ uimenu8 s@PCallbackLabelTagApplicationDataBehavior9rEuler_Back_GUI('CloseTag_Callback',gcbo,[],guidata(gcbo))@ Close@CloseTag  lastValidTag@CloseTag8@ uimenu8 s@PCallbackLabelTagApplicationDataBehavior8pEuler_Back_GUI('HelpTag_Callback',gcbo,[],guidata(gcbo))8Help@HelpTag  lastValidTag@HelpTag8H uicontrol8 s@XUnitsBackgroundColorCallbackPositionStringStyleValueCreateFcnTagApplicationDataBehaviorH normalized0?~Euler_Back_GUI('iteration_menu_Callback',gcbo,[],guidata(gcbo))P %&?v՝Vw?p t?Q?P`*Fixed point iterationP Newton iteration`0Exact numerical solutionH popupmenu0@Euler_Back_GUI('iteration_menu_CreateFcn',gcbo,[],guidata(gcbo))Piteration_menu  lastValidTagPiteration_menu8H uicontrol8 s@UnitsBackgroundColorCallbackPositionStringStyleCreateFcnTagApplicationDataBehaviorH normalized0AEuler_Back_GUI('iteration_number_Callback',gcbo,[],guidata(gcbo))P İj?v՝Vw?Q?Q?018editBEuler_Back_GUI('iteration_number_CreateFcn',gcbo,[],guidata(gcbo))P iteration_number  lastValidTagP iteration_number8H uicontrol8 t@`UnitsBackgroundColorPositionStringStyleTagApplicationDataBehaviorH normalized0P %&?7G?p t?̞?`.Choose iteration method8text@ text17  lastValidTag@ text178H uicontrol8 t@XUnitsBackgroundColorPositionStringStyleTagApplicationDataBehaviorH normalized0P İj?7G?Q?Q?X(Number of iterations8text@ text18  lastValidTag@ text188