FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2893815510> ?p ?o ?g. }

• W2893815510 endingPage "2873" @default.
• W2893815510 startingPage "2862" @default.
• W2893815510 abstract "Purpose Ordinary differential equations (ODEs) are widely used in the engineering curriculum. They model a spectrum of interesting physical problems that arise in engineering disciplines. Studies of different types of ODEs are determined by engineering applications. Various techniques are used to solve practical differential equations problems. This paper aims to present a computational tool or a computer-assisted technique aimed at tackling ODEs. This method is usually not taught and/or not accessible to undergraduate students. The aim of this strategy is to help the readers to develop an effective and relatively novel problem-solving skill. Because of the drudgery of hand computations involved, the method requires the need to use computers packages. In this work, the successive differentiation method (SDM) for solving linear and nonlinear and homogeneous or non-homogeneous ODEs is presented. The algorithm uses the successive differentiation of any given ODE to determine the values of the function’s derivatives at a single point, mostly x = 0. The obtained values are used to construct the Taylor series of the solution of the examined ODE. The algorithm does not require any new assumption, hence handles the problem in a direct manner. The power of the method is emphasized by testing a variety of models with distinct orders, with constant and variable coefficients. Most of the symbolic and numerical computations can be carried out using computer algebra systems. Design/methodology/approach This study presents a computational tool or a computer-assisted technique aimed at tackling ODEs. This method is usually not taught and/or not accessible to undergraduate students. The aim of this strategy is to help the readers to develop an effective and relatively novel problem-solving skill. Because of the drudgery of hand computations involved, the method requires the need to use computers packages. Findings This method is applied to a variety of well-known equations, such as the Bernoulli equation, the Riccati equation, the Abel equation and the second-order Euler equation, some with constant and variable coefficients. SDM handles linear and nonlinear and homogeneous or nonhomogeneous ODEs in a direct manner without any need to restrictive conditions. The method works effectively to the Volterra integral equations, as will be discussed in a coming work. Originality/value The method can be extended to a wide range of engineering problems that are modeled by differential equations. The method is simple and novel and highly accurate." @default.
• W2893815510 created "2018-10-05" @default.
• W2893815510 creator A5052042350 @default.
• W2893815510 creator A5067057512 @default.
• W2893815510 date "2018-09-28" @default.
• W2893815510 modified "2023-10-17" @default.
• W2893815510 title "The successive differentiation computer-assisted method for solving well-known scientific and engineering models" @default.
• W2893815510 cites W1998123047 @default.
• W2893815510 cites W2037482896 @default.
• W2893815510 cites W2048243799 @default.
• W2893815510 cites W2061058290 @default.
• W2893815510 cites W2143079075 @default.
• W2893815510 doi "https://doi.org/10.1108/hff-09-2017-0379" @default.
• W2893815510 hasPublicationYear "2018" @default.
• W2893815510 type Work @default.
• W2893815510 sameAs 2893815510 @default.
• W2893815510 citedByCount "1" @default.
• W2893815510 countsByYear W28938155102022 @default.
• W2893815510 crossrefType "journal-article" @default.
• W2893815510 hasAuthorship W2893815510A5052042350 @default.
• W2893815510 hasAuthorship W2893815510A5067057512 @default.
• W2893815510 hasConcept C110812573 @default.
• W2893815510 hasConcept C11413529 @default.
• W2893815510 hasConcept C121332964 @default.
• W2893815510 hasConcept C133512626 @default.
• W2893815510 hasConcept C134306372 @default.
• W2893815510 hasConcept C136197465 @default.
• W2893815510 hasConcept C14036430 @default.
• W2893815510 hasConcept C154945302 @default.
• W2893815510 hasConcept C158622935 @default.
• W2893815510 hasConcept C28826006 @default.
• W2893815510 hasConcept C33923547 @default.
• W2893815510 hasConcept C34862557 @default.
• W2893815510 hasConcept C41008148 @default.
• W2893815510 hasConcept C45374587 @default.
• W2893815510 hasConcept C51544822 @default.
• W2893815510 hasConcept C62520636 @default.
• W2893815510 hasConcept C78045399 @default.
• W2893815510 hasConcept C78458016 @default.
• W2893815510 hasConcept C86803240 @default.
• W2893815510 hasConceptScore W2893815510C110812573 @default.
• W2893815510 hasConceptScore W2893815510C11413529 @default.
• W2893815510 hasConceptScore W2893815510C121332964 @default.
• W2893815510 hasConceptScore W2893815510C133512626 @default.
• W2893815510 hasConceptScore W2893815510C134306372 @default.
• W2893815510 hasConceptScore W2893815510C136197465 @default.
• W2893815510 hasConceptScore W2893815510C14036430 @default.
• W2893815510 hasConceptScore W2893815510C154945302 @default.
• W2893815510 hasConceptScore W2893815510C158622935 @default.
• W2893815510 hasConceptScore W2893815510C28826006 @default.
• W2893815510 hasConceptScore W2893815510C33923547 @default.
• W2893815510 hasConceptScore W2893815510C34862557 @default.
• W2893815510 hasConceptScore W2893815510C41008148 @default.
• W2893815510 hasConceptScore W2893815510C45374587 @default.
• W2893815510 hasConceptScore W2893815510C51544822 @default.
• W2893815510 hasConceptScore W2893815510C62520636 @default.
• W2893815510 hasConceptScore W2893815510C78045399 @default.
• W2893815510 hasConceptScore W2893815510C78458016 @default.
• W2893815510 hasConceptScore W2893815510C86803240 @default.
• W2893815510 hasIssue "12" @default.
• W2893815510 hasLocation W28938155101 @default.
• W2893815510 hasOpenAccess W2893815510 @default.
• W2893815510 hasPrimaryLocation W28938155101 @default.
• W2893815510 hasRelatedWork W2008894878 @default.
• W2893815510 hasRelatedWork W2051843958 @default.
• W2893815510 hasRelatedWork W2061644997 @default.
• W2893815510 hasRelatedWork W2068803396 @default.
• W2893815510 hasRelatedWork W2084683781 @default.
• W2893815510 hasRelatedWork W2591056316 @default.
• W2893815510 hasRelatedWork W2893815510 @default.
• W2893815510 hasRelatedWork W3031379238 @default.
• W2893815510 hasRelatedWork W4221156607 @default.
• W2893815510 hasRelatedWork W4313271046 @default.
• W2893815510 hasVolume "28" @default.
• W2893815510 isParatext "false" @default.
• W2893815510 isRetracted "false" @default.
• W2893815510 magId "2893815510" @default.
• W2893815510 workType "article" @default.