Application of the Variational Iteration Method to Strongly Nonlinear <svg style="vertical-align:-3.294pt;width:11.2875px;" id="M1" height="14.1125" version="1.1" viewBox="0 0 11.2875 14.1125" width="11.2875"  xmlns="http://www.w3.org/2000/svg">
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			<text transform="matrix(1,0,0,-1,-71.95,64.04)">
				<tspan style="font-size: 17.93px; " x="0" y="0">𝑞</tspan>
			</text>

		</g>
	</g>
</svg>-Difference Equations

<table>Time response for <svg height="16.5375" id="M192" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 221.425 16.5375" width="221.425" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.5375)">
<g transform="translate(72,-58.77)">
<text transform="matrix(1,0,0,-1,-71.95,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.07,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">Δ</tspan>
<tspan style="font-size: 8.75px; " x="6.318944" y="0">Δ</tspan>
</text>
<text transform="matrix(1,0,0,-1,-49.16,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">+</tspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="15.50372" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="21.75522" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="24.88097" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="33.908134" y="0">+</tspan>
<tspan style="font-size: 12.50px; " x="45.248356" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="51.499859" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="54.625607" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="60.877106" y="0">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="67.753754" y="0">)</tspan>
<tspan style="font-size: 12.50px; " x="71.917259" y="0">𝑥</tspan>
</text>
<text transform="matrix(1,0,0,-1,29.64,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">Δ</tspan>
</text>
<text transform="matrix(1,0,0,-1,39.24,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">+</tspan>
<tspan style="font-size: 12.50px; " x="11.340221" y="0">𝑥</tspan>
<tspan style="font-size: 12.50px; " x="20.992537" y="0">+</tspan>
<tspan style="font-size: 12.50px; " x="32.33276" y="0">𝑥</tspan>
</text>
<text transform="matrix(1,0,0,-1,78.46,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
<text transform="matrix(1,0,0,-1,86.81,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">0</tspan>
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</g>
</g>
</svg> with 7 iterations.</table>

Journal of Applied Mathematics

fig4

Figure 4

Figure 4: Application of the Variational Iteration Method to Strongly Nonlinear <svg style="vertical-align:-3.294pt;width:11.2875px;" id="M1" height="14.1125" version="1.1" viewBox="0 0 11.2875 14.1125" width="11.2875"  xmlns="http://www.w3.org/2000/svg">
	<g transform="matrix(1.25,0,0,-1.25,0,14.1125)">
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				<tspan style="font-size: 17.93px; " x="0" y="0">𝑞</tspan>
			</text>

		</g>
	</g>
</svg>-Difference Equations 

Journal of Applied Mathematics

Application of the Variational Iteration Method to Strongly Nonlinear 𝑞 -Difference Equations

Figure 4

Application of the Variational Iteration Method to Strongly Nonlinear -Difference Equations