Weakly Singular Volterra Integral Equations
Convergence Analysis of Piecewise Polynomial Collocation Methods for System of Weakly Singular Volterra Integral Equations of The First Kind
... Abstract: We study regularity of solutions of weakly singular Volterra integral equations of the first kind. We then study the numerical analysis of discontinuous piecewise polynomial ...
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Vol 9, No 1 (2018)
... of weakly singular Volterra integral equations with high ...of Volterra integral equations and to higher ...second-kind Volterra integral ...
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On nonlinear discrete weakly singular inequalities and applications to Volterra type difference equations
... where < α < , β ≥ and σ ≥ β – . It should be noted that the above mentioned results are based on the assumption that the mesh size is uniformly bounded. Unfortunately, such technique leads to weak results, ...
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A finite difference method for the smooth solution of linear Volterra integral equations
... weakly singular Volterra integral equations (possibly originated from a boundary value problem) when smoothness of the solution is ...
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A class of Runge–Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels
... nonlinear Volterra integral equations of the second kind and then we will look for the solution by a class of Runge–Kutta ...solving singular integral equations, the pur- pose is ...
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On some new weakly singular Volterra integral inequalities with maxima and their applications
... Along with the development of automatic control theory and its applications to compu- tational mathematics and modeling, attention was also put to integral inequalities with the maxima of the unknown function. ...
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Singularly perturbed Volterra integral equations with weakly singular kernels
... We consider finding asymptotic solutions of the singularly perturbed linear Volterra in- tegral equations with weakly singular kernels. An interesting aspect of these problems is that the ...
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Systems of Singularly Perturbed Fractional Integral Equations II
... perturbed Volterra equations with weakly sin- gular kernels resembles the asymptotic behaviour of higher transcendental functions of fractional ...perturbed Volterra equations with ...
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Jacobi spectral solution for weakly singular integral algebraic equations of index 1
... with weakly singular kernels is the initial (boundary) value problems for the semi-infinite strip and temperature boundary specification including two/three-phase inverse Stefan problems ...for ...
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Numerical Solutions of Volterra Integral Equations of Second kind with the help of Chebyshev Polynomials
... linear Volterra integral equations of second kind having regular as well as weakly singular kernels, in details, in Section ...of Volterra integral equations are ...
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The Combined Reproducing Kernel Method and Taylor Series for Handling Fractional Differential Equations
... solve singular or nonsingular integral equations in the reproducing kernel Hilbert space which was pre- sented by Zaremba in ...gular integral equations with cosecant kernel [25], ...
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Numerical Methods for a Class of Hybrid Weakly Singular Integro Differential Equations
... integro-differential equations is from an aeroelasticity pro- blem, in which the mathematical model comprises eight integro-differential eq- uations ...scalar weakly sin- gular integro-differential equation ...
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Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications
... with singular kernel see ...general weakly singular integral inequalities of the Volterra type, and later Ma and Peˇcari´c 9 used this method to study nonlinear inequalities of Henry ...
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Discrete collocation method for Volterra type weakly singular integral equations with logarithmic kernels
... 4. Assari, P., Adibi, H., and Dehghan, M. A meshless discrete Galerkin(MDG) method for the numerical solution of integral equations with logarithmic kernels, J. Comput. Appl. Math, 267 (2014), 160–181. 5. ...
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On a weakly singular quadratic integral equations of Volterra type in Banach algebras
... In this paper, we present existence and uniqueness theorems of nonnegative, asymptotically stable, and ultimately nondecreasing solutions for weakly singular quadratic integral equations of ...
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Cubic Spline Approximation for Weakly Singular Integral Models
... linear integral mixed Volterra- Fredholm equations of the second kind, with particular weakly singular ...with weakly regular ...
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Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel
... The V-FIE arises from parabolic boundary value problems. Many authors have interested in solving the linear and nonlinear integral equation. The time collo- cation method was introduced by Pachpatta [1] and the ...
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On Existence of Solutions of q Perturbed Quadratic Integral Equations
... [8]-[11], integral equations with nonsigular kernels have been ...quadratic Volterra equations with ...quadratic integral equations of arbitrary orders with singular ...
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Kress smoothing transformation for weakly singular Fredholm integral equation of second kind
... Fredholm integral equation in domains with corners. The solution of this integral equation has a singularity at the corner ...considers integral equations of the second kind in the slightly ...
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Refinements of some $2D$ nonlinear integral inequalities and applications in fractional integral equations
... parabolic partial differential equations (see [4, 11]) as the well known Gronwall inequality in the theory of ordinary differ- ential equations.Ye et al. [5] proved a generalization of this type of inequalities ...
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