List of Articles Volterra-Fredholm integral equation

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  1 - Numerical solution of nonlinear fractional pantograph differential equations with boundary conditions using Jacobi polynomials
  Somayeh Nemati Faezeh Bakouei
  In this research, we have numerically solved a set of nonlinear fractional pantograph differential equations with boundary conditions using Jacobi polynomials. The present method turns the problem into a system of nonlinear algebraic equations, which simplifies the prob More

  In this research, we have numerically solved a set of nonlinear fractional pantograph differential equations with boundary conditions using Jacobi polynomials. The present method turns the problem into a system of nonlinear algebraic equations, which simplifies the problem. It is suggested to use Jacobi wavelets to solve such problems, because in problems where the solution is not smooth enough, using wavelets by keeping the polynomial degree constant and increasing the number of wavelets will lead to an improvement in the approximation. Manuscript profile
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  2 - A meshless technique for nonlinear Volterra-Fredholm integral equations via hybrid of radial basis functions
  Jinoos Nazari Homa Almasieh
  In this paper, an effective technique is proposed to determine thenumerical solution of nonlinear Volterra-Fredholm integralequations (VFIEs) which is based on interpolation by the hybrid ofradial basis functions (RBFs) including both inverse multiquadrics(IMQs), hyperb More

  In this paper, an effective technique is proposed to determine thenumerical solution of nonlinear Volterra-Fredholm integralequations (VFIEs) which is based on interpolation by the hybrid ofradial basis functions (RBFs) including both inverse multiquadrics(IMQs), hyperbolic secant (Sechs) and strictly positive definitefunctions. Zeros of the shifted Legendre polynomial are used asthe collocation points to set up the nonlinear systems. Theintegrals involved in the formulation of the problems areapproximated based on Legendre-Gauss-Lobatto integration rule.This technique is so convenience to implement and yields veryaccurate results compared with the other basis. In addition aconvergence theorem is proved to show the stability of thistechnique. Illustrated examples are included to confirm thevalidity and applicability of the proposed method. The comparisonof the errors is implemented by the other methods in referencesusing both inverse multiquadrics (IMQs), hyperbolic secant (Sechs)and strictly positive definite functions. Manuscript profile
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  3 - A Legendre-spectral scheme for solution of nonlinear system of Volterra-Fredholm integral equations
  L. Hooshangian D. Mirzaie
  This paper gives an ecient numerical method for solving the nonlinear systemof Volterra-Fredholm integral equations. A Legendre-spectral method based onthe Legendre integration Gauss points and Lagrange interpolation is proposedto convert the nonlinear integral equatio More

  This paper gives an ecient numerical method for solving the nonlinear systemof Volterra-Fredholm integral equations. A Legendre-spectral method based onthe Legendre integration Gauss points and Lagrange interpolation is proposedto convert the nonlinear integral equations to a nonlinear system of equationswhere the solution leads to the values of unknown functions at collocationpoints. Manuscript profile
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  4 - A numerical solution of mixed Volterra Fredholm integral equations of Urysohn type on non-rectangular regions using meshless methods
  M. Nili Ahmadabadi H. Laeli Dastjerdi
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  5 - Numerical Solution Two-Dimensional Volterra-Fredholm Integral Equations of the Second Kind with Block-Pulse Functions Based on Legendre Polynomials
  Jafar Khazaian Nouredin Parandin Farajollah Mohammadi Yaghoobi Nasrin Karami Kabir
  10.30495/ijm2c.2022.688969
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