An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method

<div class="floats-full-page floats-full-page-other"><h2>Table 2</h2><div class="floats-full-page-caption">Errors and invariants for single solitary wave with <svg height="11.125" id="M146" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 34.612499 11.125" width="34.612499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>, <svg height="12.4375" id="M147" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 48.512501 12.4375" width="48.512501" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>, <svg height="12.4375" id="M148" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 64.612503 12.4375" width="64.612503" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>.</div><div class="floats-full-page-content"><table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr /></td></tr><tr class="thead"><td align="left">  Method </td><td align="center"><span style="width: 13.8875px;"><svg height="15.25" id="M151" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 13.8875 15.25" width="13.8875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></span></td></tr><tr><td class="thead-hr" colspan="6"><hr /></td></tr><tr><td align="left">Analytical </td><td align="center"> 4.4428829 </td><td align="center"> 3.2998316 </td><td align="center"> 1.4142135 </td><td align="center"> 0 </td><td align="center"> 0 </td></tr><tr><td align="left">Present </td><td align="center"> 4.4428661 </td><td align="center"> 3.2997151 </td><td align="center"> 1.4143122 </td><td align="center"> 2.57148 </td><td align="center"> 1.334021 </td></tr><tr><td align="left">[<a href="../../596406/#B6">6</a>] </td><td align="center"> 4.44288 </td><td align="center"> 3.29981 </td><td align="center"> 1.41416 </td><td align="center"> 3.00533 </td><td align="center"> 1.68749 </td></tr><tr><td align="left">Cubic B-splines coll-CN [<a href="../../596406/#B29">29</a>] </td><td align="center"> 4.442 </td><td align="center"> 3.299 </td><td align="center"> 1.413 </td><td align="center"> 16.39 </td><td align="center"> 9.24 </td></tr><tr><td align="left">Cubic B-splines coll-PA-CN+ [<a href="../../596406/#B29">29</a>] </td><td align="center"> 4.440 </td><td align="center"> 3.296 </td><td align="center"> 1.411 </td><td align="center"> 20.3 </td><td align="center"> 11.2 </td></tr><tr><td align="left">Cubic B-splines coll [<a href="../../596406/#B30">30</a>] </td><td align="center"> 4.44288 </td><td align="center"> 3.29983 </td><td align="center"> 1.41420 </td><td align="center"> 9.30196 </td><td align="center"> 5.43718 </td></tr><tr><td align="left">MQ [<a href="../../596406/#B35">35</a>] </td><td align="center"> 4.4428829 </td><td align="center"> 3.29978 </td><td align="center"> 1.414163 </td><td align="center"> 3.914 </td><td align="center"> 2.019 </td></tr><tr><td align="left">IMQ [<a href="../../596406/#B35">35</a>] </td><td align="center"> 4.4428611 </td><td align="center"> 3.29978 </td><td align="center"> 1.414163 </td><td align="center"> 3.914 </td><td align="center"> 2.019 </td></tr><tr><td align="left">IQ [<a href="../../596406/#B35">35</a>] </td><td align="center"> 4.4428794 </td><td align="center"> 3.29978 </td><td align="center"> 1.414163 </td><td align="center"> 3.914 </td><td align="center"> 2.019 </td></tr><tr><td align="left">GA [<a href="../../596406/#B35">35</a>] </td><td align="center"> 4.4428829 </td><td align="center"> 3.29978 </td><td align="center"> 1.414163 </td><td align="center"> 3.914 </td><td align="center"> 2.019 </td></tr><tr><td align="left">TPS [<a href="../../596406/#B35">35</a>] </td><td align="center"> 4.4428821 </td><td align="center"> 3.29972 </td><td align="center"> 1.414104 </td><td align="center"> 4.428 </td><td align="center"> 2.306 </td></tr><tr><td align="left">Quintic B-splines coll [<a href="../../596406/#B36">36</a>] </td><td align="center"> 4.4428661 </td><td align="center"> 3.2997108 </td><td align="center"> 1.4143165 </td><td align="center"> 2.58891 </td><td align="center"> 1.35164 </td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr" /></td></tr></table></td></tr></table></div></div>

Table 2 | An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method

title

Table 2: An Efficient Approach to Numerical Study of the MRLW Equation with B-Spline Collocation Method

description

Table 2

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<p><em>Abstract and Applied Analysis</em> publishes research with an emphasis on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimisation theory, and control theory.</p>


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