Adaptive Optimal <svg style="vertical-align:-0.144pt;width:16.0375px;" id="M1" height="10.1875" version="1.1" viewBox="0 0 16.0375 10.1875" width="16.0375"  xmlns="http://www.w3.org/2000/svg">
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				<tspan style="font-size: 17.93px; " x="0" y="0">𝑚</tspan>
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</svg>-Stage Runge-Kutta Methods for Solving Reaction-Diffusion-Chemotaxis Systems

<table>Relative error between numerical simulations and the analytic solution.</table>

Journal of Applied Mathematics

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Figure 3: Adaptive Optimal <svg style="vertical-align:-0.144pt;width:16.0375px;" id="M1" height="10.1875" version="1.1" viewBox="0 0 16.0375 10.1875" width="16.0375"  xmlns="http://www.w3.org/2000/svg">
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			<text transform="matrix(1,0,0,-1,-71.95,64.04)">
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</svg>-Stage Runge-Kutta Methods for Solving Reaction-Diffusion-Chemotaxis Systems 

Journal of Applied Mathematics

Adaptive Optimal 𝑚 -Stage Runge-Kutta Methods for Solving Reaction-Diffusion-Chemotaxis Systems

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Adaptive Optimal -Stage Runge-Kutta Methods for Solving Reaction-Diffusion-Chemotaxis Systems