A new application of the Legendre reproducing kernel method
Copyright policy )A new application of the Legendre reproducing kernel method
<abstract><p>In this work, we apply the reproducing kernel method to coupled system of second and fourth order boundary value problems. We construct a novel algorithm to acquire the numerical results of the nonlinear boundary-value problems. We also use the Legendre polynomials. Additionally, we discuss the convergence analysis and error estimates. We demonstrate the numerical simulations to prove the efficiency of the presented method.</p></abstract>
- Payame Noor University Iran (Islamic Republic of)
- University of Bonab Iran (Islamic Republic of)
- China Medical University Taiwan
- Çankaya University Turkey
- China Medical University Hospital Taiwan
legendre polynomials, reproducing kernel functions, boundary value problem, Legendre polynomials, QA1-939, approximate solution, Mathematics, convergence analysis
legendre polynomials, reproducing kernel functions, boundary value problem, Legendre polynomials, QA1-939, approximate solution, Mathematics, convergence analysis
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