Systems of differential equations - Revision history

A WASSERMANN at 11:34, 19 January 2017

2017-01-19T11:34:24Z

← Older revision		Revision as of 11:34, 19 January 2017
Line 84:		Line 84:

	function doIt() {		function doIt() {
	var txt1 = ~~JXG.GeonextParser.geonext2JS(~~document.getElementById("odeinput1").value);		var txt1 = document.getElementById("odeinput1").value;
	var txt2 = ~~JXG.GeonextParser.geonext2JS(~~document.getElementById("odeinput2").value);		var txt2 = document.getElementById("odeinput2").value;
	f = ~~new Function~~("x", "yy", ~~"var y1 =~~ yy[0], ~~y2 =~~ yy[1]~~; var z1 = " + txt1 + "; var z2 = " + txt2 + "; return~~ [z1,z2];");
			var snip1 = brd.jc.snippet(txt1, true, 'x, y1, y2');
			var snip2 = brd.jc.snippet(txt2, true, 'x, y1, y2');
			f = function (x, yy) {
			return [snip1(x, yy[0], yy[1]), snip2(x, yy[0], yy[1])];
			}
	brd.update();		brd.update();
	}		}
Line 99:		Line 104:
	var data = ode();		var data = ode();
	var h = N.Value()/200;		var h = N.Value()/200;
			var i;

	this.dataX = [];		this.dataX = [];
	this.dataY = [];		this.dataY = [];
	for(~~var~~ i=0; i<data.length; i++) {		for(i=0; i<data.length; i++) {
	this.dataX[i] = P1.X()+i*h;		this.dataX[i] = P1.X()+i*h;
	this.dataY[i] = data[i][0];		this.dataY[i] = data[i][0];
Line 109:		Line 116:
	var data = ode();		var data = ode();
	var h = N.Value()/200;		var h = N.Value()/200;
			var i;

	this.dataX = [];		this.dataX = [];
	this.dataY = [];		this.dataY = [];
	for(~~var~~ i=0; i<data.length; i++) {		for(i=0; i<data.length; i++) {
	this.dataX[i] = P2.X()+i*h;		this.dataX[i] = P2.X()+i*h;
	this.dataY[i] = data[i][1];		this.dataY[i] = data[i][1];

A WASSERMANN at 11:33, 19 January 2017

2017-01-19T11:33:06Z

← Older revision		Revision as of 11:33, 19 January 2017
Line 19:		Line 19:
	var txt1 = document.getElementById("odeinput1").value;		var txt1 = document.getElementById("odeinput1").value;
	var txt2 = document.getElementById("odeinput2").value;		var txt2 = document.getElementById("odeinput2").value;

	var snip1 = brd.jc.snippet(txt1, true, 'x, y1, y2');		var snip1 = brd.jc.snippet(txt1, true, 'x, y1, y2');
	var snip2 = brd.jc.snippet(~~txt1~~, true, 'x, y1, y2');		var snip2 = brd.jc.snippet(txt2, true, 'x, y1, y2');
	f = function (x, yy) {		f = function (x, yy) {
	return [snip1(x, yy[0], yy[1]), snip2(x, yy[0], yy[1])];		return [snip1(x, yy[0], yy[1]), snip2(x, yy[0], yy[1])];

A WASSERMANN at 11:32, 19 January 2017

2017-01-19T11:32:12Z

← Older revision		Revision as of 11:32, 19 January 2017
Line 17:		Line 17:

	function doIt() {		function doIt() {
	var txt1 = ~~JXG.GeonextParser.geonext2JS(~~document.getElementById("odeinput1").value);		var txt1 = document.getElementById("odeinput1").value;
	var txt2 = ~~JXG.GeonextParser.geonext2JS(~~document.getElementById("odeinput2").value);		var txt2 = document.getElementById("odeinput2").value;
	f = ~~new Function~~("x", "yy", ~~"var y1 =~~ yy[0], ~~y2 =~~ yy[1]~~; var z1 = " + txt1 + "; var z2 = " + txt2 + "; return~~ [z1,z2];");		var snip1 = brd.jc.snippet(txt1, true, 'x, y1, y2');
			var snip2 = brd.jc.snippet(txt1, true, 'x, y1, y2');
			f = function (x, yy) {
			return [snip1(x, yy[0], yy[1]), snip2(x, yy[0], yy[1])];
			}
	brd.update();		brd.update();
	}		}
Line 32:		Line 36:
	var data = ode();		var data = ode();
	var h = N.Value()/200;		var h = N.Value()/200;
			var i;

	this.dataX = [];		this.dataX = [];
	this.dataY = [];		this.dataY = [];
	for(~~var~~ i=0; i<data.length; i++) {		for(i=0; i<data.length; i++) {
	this.dataX[i] = P1.X()+i*h;		this.dataX[i] = P1.X()+i*h;
	this.dataY[i] = data[i][0];		this.dataY[i] = data[i][0];
Line 42:		Line 48:
	var data = ode();		var data = ode();
	var h = N.Value()/200;		var h = N.Value()/200;
			var i;

	this.dataX = [];		this.dataX = [];
	this.dataY = [];		this.dataY = [];
	for(~~var~~ i=0; i<data.length; i++) {		for(i=0; i<data.length; i++) {
	this.dataX[i] = P2.X()+i*h;		this.dataX[i] = P2.X()+i*h;
	this.dataY[i] = data[i][1];		this.dataY[i] = data[i][1];

A WASSERMANN at 16:03, 20 February 2013

2013-02-20T16:03:36Z

← Older revision		Revision as of 16:03, 20 February 2013
Line 27:		Line 27:
	}		}

	var g1 = brd.create('curve', [[0],[0]], {strokeColor:'red', strokeWidth:~~'2px'~~, name:'y_1', withLabel:false});		var g1 = brd.create('curve', [[0],[0]], {strokeColor:'red', strokeWidth:2, name:'y_1', withLabel:false});
	var g2 = brd.create('curve', [[0],[0]], {strokeColor:'black', strokeWidth:~~'2px'~~, name:'y_2', withLabel:false});		var g2 = brd.create('curve', [[0],[0]], {strokeColor:'black', strokeWidth:2, name:'y_2', withLabel:false});
	g1.updateDataArray = function() {		g1.updateDataArray = function() {
	var data = ode();		var data = ode();
Line 85:		Line 85:
	}		}

	var g1 = brd.create('curve', [[0],[0]], {strokeColor:'red', strokeWidth:~~'2px'~~, name:'y_1', withLabel:false});		var g1 = brd.create('curve', [[0],[0]], {strokeColor:'red', strokeWidth:2, name:'y_1', withLabel:false});
	var g2 = brd.create('curve', [[0],[0]], {strokeColor:'black', strokeWidth:~~'2px'~~, name:'y_2', withLabel:false});		var g2 = brd.create('curve', [[0],[0]], {strokeColor:'black', strokeWidth:2, name:'y_2', withLabel:false});
	g1.updateDataArray = function() {		g1.updateDataArray = function() {
	var data = ode();		var data = ode();

A WASSERMANN at 20:26, 8 September 2010

2010-09-08T20:26:24Z

← Older revision		Revision as of 20:26, 8 September 2010
Line 24:		Line 24:

	function ode() {		function ode() {
	return JXG.Math.Numerics.rungeKutta(~~JXG.Math.Numerics.predefinedButcher.Heun~~, [P1.Y(),P2.Y()], [P1.X(), P1.X()+N.Value()], 200, f);		return JXG.Math.Numerics.rungeKutta('heun', [P1.Y(),P2.Y()], [P1.X(), P1.X()+N.Value()], 200, f);
	}		}

Line 82:		Line 82:

	function ode() {		function ode() {
	return JXG.Math.Numerics.rungeKutta(~~JXG.Math.Numerics.predefinedButcher.Heun~~, [P1.Y(),P2.Y()], [P1.X(), P1.X()+N.Value()], 200, f);		return JXG.Math.Numerics.rungeKutta('heun', [P1.Y(),P2.Y()], [P1.X(), P1.X()+N.Value()], 200, f);
	}		}

A WASSERMANN at 08:23, 30 July 2010

2010-07-30T08:23:09Z

← Older revision		Revision as of 08:23, 30 July 2010
Line 27:		Line 27:
	}		}

	var g1 = brd.~~createElement~~('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1', withLabel:false});		var g1 = brd.create('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1', withLabel:false});
	var g2 = brd.~~createElement~~('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2', withLabel:false});		var g2 = brd.create('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2', withLabel:false});
	g1.updateDataArray = function() {		g1.updateDataArray = function() {
	var data = ode();		var data = ode();
Line 85:		Line 85:
	}		}

	var g1 = brd.~~createElement~~('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1', withLabel:false});		var g1 = brd.create('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1', withLabel:false});
	var g2 = brd.~~createElement~~('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2', withLabel:false});		var g2 = brd.create('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2', withLabel:false});
	g1.updateDataArray = function() {		g1.updateDataArray = function() {
	var data = ode();		var data = ode();

A WASSERMANN at 09:13, 21 July 2010

2010-07-21T09:13:47Z

← Older revision		Revision as of 09:13, 21 July 2010
Line 12:		Line 12:
	var brd = JXG.JSXGraph.initBoard('jxgbox', {axis:true, boundingbox:[-11,11,11,-11]});		var brd = JXG.JSXGraph.initBoard('jxgbox', {axis:true, boundingbox:[-11,11,11,-11]});
	var N = brd.create('slider',[[-7,9.5],[7,9.5],[-15,10,15]], {name:'N'});		var N = brd.create('slider',[[-7,9.5],[7,9.5],[-15,10,15]], {name:'N'});
	var P1 = brd.create('point',[0,1], {name:'(x_0,c_1)'});		var P1 = brd.create('point',[1,-1], {name:'(x_0,c_1)'});
	var line = brd.create('line',[function(){return -P1.X();},function(){return 1;},function(){return 0;}],{visible:false});		var line = brd.create('line',[function(){return -P1.X();},function(){return 1;},function(){return 0;}],{visible:false});
	var P2 = brd.create('glider',[0,2,line], {name:'(x_0,c_2)'});		var P2 = brd.create('glider',[1,-0.5,line], {name:'(x_0,c_2)'});

	function doIt() {		function doIt() {
Line 70:		Line 70:
	var brd = JXG.JSXGraph.initBoard('jxgbox', {axis:true, boundingbox:[-11,11,11,-11]});		var brd = JXG.JSXGraph.initBoard('jxgbox', {axis:true, boundingbox:[-11,11,11,-11]});
	var N = brd.create('slider',[[-7,9.5],[7,9.5],[-15,10,15]], {name:'N'});		var N = brd.create('slider',[[-7,9.5],[7,9.5],[-15,10,15]], {name:'N'});
	var P1 = brd.create('point',[0,1], {name:'(x_0,c_1)'});		var P1 = brd.create('point',[1,-1], {name:'(x_0,c_1)'});
	var line = brd.create('line',[function(){return -P1.X();},function(){return 1;},function(){return 0;}],{visible:false});		var line = brd.create('line',[function(){return -P1.X();},function(){return 1;},function(){return 0;}],{visible:false});
	var P2 = brd.create('glider',[0,2,line], {name:'(x_0,c_2)'});		var P2 = brd.create('glider',[1,-0.5,line], {name:'(x_0,c_2)'});

	function doIt() {		function doIt() {

A WASSERMANN at 08:57, 21 July 2010

2010-07-21T08:57:00Z

← Older revision		Revision as of 08:57, 21 July 2010
Line 27:		Line 27:
	}		}

	var g1 = brd.createElement('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1', withLabel:~~true~~});		var g1 = brd.createElement('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1', withLabel:false});
	var g2 = brd.createElement('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2', withLabel:~~true~~});		var g2 = brd.createElement('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2', withLabel:false});
	g1.updateDataArray = function() {		g1.updateDataArray = function() {
	var data = ode();		var data = ode();
Line 85:		Line 85:
	}		}

	var g1 = brd.createElement('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1', withLabel:~~true~~});		var g1 = brd.createElement('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1', withLabel:false});
	var g2 = brd.createElement('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2', withLabel:~~true~~});		var g2 = brd.createElement('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2', withLabel:false});
	g1.updateDataArray = function() {		g1.updateDataArray = function() {
	var data = ode();		var data = ode();

A WASSERMANN at 08:56, 21 July 2010

2010-07-21T08:56:32Z

@@ Line 27: / Line 27: @@
+}
-var g1 = brd.createElement('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'<p>y_1', withLabel:true});
+var g1 = brd.createElement('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'y_1', withLabel:true});
-var g2 = brd.createElement('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'<p>y_2', withLabel:true});
+var g2 = brd.createElement('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'y_2', withLabel:true});
 g1.updateDataArray = function() {
      var data = ode();
@@ Line 51: / Line 51: @@
 doIt();
 </jsxgraph>

A WASSERMANN at 08:53, 21 July 2010

2010-07-21T08:53:53Z

← Older revision		Revision as of 08:53, 21 July 2010
Line 27:		Line 27:
	}		}

	var g1 = brd.createElement('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'~~   ~~y_1', withLabel:true});		var g1 = brd.createElement('curve', [[0],[0]], {strokeColor:'red', strokeWidth:'2px', name:'<p>y_1', withLabel:true});
	var g2 = brd.createElement('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'~~   ~~y_2', withLabel:true});		var g2 = brd.createElement('curve', [[0],[0]], {strokeColor:'black', strokeWidth:'2px', name:'<p>y_2', withLabel:true});
	g1.updateDataArray = function() {		g1.updateDataArray = function() {
	var data = ode();		var data = ode();