Matches in SemOpenAlex for { <https://semopenalex.org/work/W4376108069> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W4376108069 abstract "Abstract ـــــ In this paper, we presented a new simple method for solving two integral equations of Love’s type that have many applications, especially in electrostatic systems. The approach of the solution is based on an innovative technique using matrix algebra for the barycentric Lagrange interpolation. The unknown function is expressed through the product of four matrices, one of which is a square matrix in which each row expresses the coefficients of one barycentric function. The kernel is interpolated twice, so we get it in the product of five matrices. One of these matrices is the most important matrix in the solution’s procedure. As it expresses the functional values of the kernel at the interpolation nodes for the two variables. Additionally, we derive an equivalent linear algebraic system to the solution by substituting the matrix-vector barycentric interpolated unknown function together with the double interpolated kernel into both sides of the integral equation. Thus, there was no need to employ the collocation method. The obtained results converge strongly with the approximate analytical solutions. In addition to being uniformly approximated, continuous, and even, which proves the validity of the solution by the presented method. MSC code: 00A69" @default.
- W4376108069 created "2023-05-12" @default.
- W4376108069 creator A5025284844 @default.
- W4376108069 creator A5055575569 @default.
- W4376108069 date "2023-05-10" @default.
- W4376108069 modified "2023-10-01" @default.
- W4376108069 title "Barycentric Lagrange Interpolation Method for Solving Love’s Integral Equations" @default.
- W4376108069 doi "https://doi.org/10.21203/rs.3.rs-2882853/v1" @default.
- W4376108069 hasPublicationYear "2023" @default.
- W4376108069 type Work @default.
- W4376108069 citedByCount "0" @default.
- W4376108069 crossrefType "posted-content" @default.
- W4376108069 hasAuthorship W4376108069A5025284844 @default.
- W4376108069 hasAuthorship W4376108069A5055575569 @default.
- W4376108069 hasBestOaLocation W43761080691 @default.
- W4376108069 hasConcept C104114177 @default.
- W4376108069 hasConcept C106487976 @default.
- W4376108069 hasConcept C121332964 @default.
- W4376108069 hasConcept C128356825 @default.
- W4376108069 hasConcept C134306372 @default.
- W4376108069 hasConcept C136119220 @default.
- W4376108069 hasConcept C137800194 @default.
- W4376108069 hasConcept C154945302 @default.
- W4376108069 hasConcept C158693339 @default.
- W4376108069 hasConcept C159985019 @default.
- W4376108069 hasConcept C171836373 @default.
- W4376108069 hasConcept C188325010 @default.
- W4376108069 hasConcept C192562407 @default.
- W4376108069 hasConcept C202444582 @default.
- W4376108069 hasConcept C2126413 @default.
- W4376108069 hasConcept C2524010 @default.
- W4376108069 hasConcept C28826006 @default.
- W4376108069 hasConcept C33923547 @default.
- W4376108069 hasConcept C41008148 @default.
- W4376108069 hasConcept C4263655 @default.
- W4376108069 hasConcept C51544822 @default.
- W4376108069 hasConcept C54848796 @default.
- W4376108069 hasConcept C55294529 @default.
- W4376108069 hasConcept C62520636 @default.
- W4376108069 hasConcept C64208722 @default.
- W4376108069 hasConcept C69044650 @default.
- W4376108069 hasConcept C74193536 @default.
- W4376108069 hasConcept C78045399 @default.
- W4376108069 hasConcept C90119067 @default.
- W4376108069 hasConceptScore W4376108069C104114177 @default.
- W4376108069 hasConceptScore W4376108069C106487976 @default.
- W4376108069 hasConceptScore W4376108069C121332964 @default.
- W4376108069 hasConceptScore W4376108069C128356825 @default.
- W4376108069 hasConceptScore W4376108069C134306372 @default.
- W4376108069 hasConceptScore W4376108069C136119220 @default.
- W4376108069 hasConceptScore W4376108069C137800194 @default.
- W4376108069 hasConceptScore W4376108069C154945302 @default.
- W4376108069 hasConceptScore W4376108069C158693339 @default.
- W4376108069 hasConceptScore W4376108069C159985019 @default.
- W4376108069 hasConceptScore W4376108069C171836373 @default.
- W4376108069 hasConceptScore W4376108069C188325010 @default.
- W4376108069 hasConceptScore W4376108069C192562407 @default.
- W4376108069 hasConceptScore W4376108069C202444582 @default.
- W4376108069 hasConceptScore W4376108069C2126413 @default.
- W4376108069 hasConceptScore W4376108069C2524010 @default.
- W4376108069 hasConceptScore W4376108069C28826006 @default.
- W4376108069 hasConceptScore W4376108069C33923547 @default.
- W4376108069 hasConceptScore W4376108069C41008148 @default.
- W4376108069 hasConceptScore W4376108069C4263655 @default.
- W4376108069 hasConceptScore W4376108069C51544822 @default.
- W4376108069 hasConceptScore W4376108069C54848796 @default.
- W4376108069 hasConceptScore W4376108069C55294529 @default.
- W4376108069 hasConceptScore W4376108069C62520636 @default.
- W4376108069 hasConceptScore W4376108069C64208722 @default.
- W4376108069 hasConceptScore W4376108069C69044650 @default.
- W4376108069 hasConceptScore W4376108069C74193536 @default.
- W4376108069 hasConceptScore W4376108069C78045399 @default.
- W4376108069 hasConceptScore W4376108069C90119067 @default.
- W4376108069 hasLocation W43761080691 @default.
- W4376108069 hasOpenAccess W4376108069 @default.
- W4376108069 hasPrimaryLocation W43761080691 @default.
- W4376108069 hasRelatedWork W2142567026 @default.
- W4376108069 hasRelatedWork W2352500525 @default.
- W4376108069 hasRelatedWork W2358123980 @default.
- W4376108069 hasRelatedWork W2366643971 @default.
- W4376108069 hasRelatedWork W2392319767 @default.
- W4376108069 hasRelatedWork W2479396352 @default.
- W4376108069 hasRelatedWork W2551024924 @default.
- W4376108069 hasRelatedWork W3032040340 @default.
- W4376108069 hasRelatedWork W4313216527 @default.
- W4376108069 hasRelatedWork W4327711784 @default.
- W4376108069 isParatext "false" @default.
- W4376108069 isRetracted "false" @default.
- W4376108069 workType "article" @default.