scientific article; zbMATH DE number 7372011

zbMath1471.65129MaRDI QIDQ5000789

Christian Kasumo

Publication date: 15 July 2021

Full work available at URL: http://www.ijaamm.com/uploads/2/1/4/8/21481830/v8n2p6_64-73.pdf

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zbMATH Keywords

Burgers equationKdV equationAdomian decomposition methodPicard's successive approximations methodsemi analytic iterative method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Cites Work

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• The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations
• A semi-analytical iterative technique for solving nonlinear problems
• The variational iteration method for rational solutions for KdV, \(K(2,2)\), Burgers, and cubic Boussinesq equations
• Picard successive approximation method for solving differential equations arising in fractal heat transfer with local fractional derivative
• A mixed finite difference and boundary element approach to one-dimensional Burgers' equation
• Numerical solution of Burgers' equation based on mixed finite volume element methods
• On a discussion of Volterra-Fredholm integral equation with discontinuous kernel
• Numerical study of modified Adomian's method applied to Burgers equation
• Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions

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