Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations

<table>Spatial-time approximations for problem 2 with <svg height="11.1" id="M179" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 55.887501 11.1" width="55.887501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">ℎ</tspan>
<tspan style="font-size: 12.50px; " x="10.677562" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.717951" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.969452" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="32.0952" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="38.346703" y="0">5</tspan>
</text>
</g>
</g>
</svg> and <svg height="11.1" id="M180" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 64.237503 11.1" width="64.237503" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">Δ</tspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="16.403936" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="28.444324" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="34.695824" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="37.821575" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="44.073074" y="0">ℎ</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Applied Mathematics

fig1

Figure 1

Figure 1: Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations 