[PDF] Top 20 Singularly perturbed Volterra integral equations with weakly singular kernels
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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 ... See full document
15
Asymptotics of integrodifferential models with integrable kernels II
... larly perturbed Volterra integral equations with weakly singular kernels have been studied in ...that singularly perturbed Volterra integral ... See full document
17
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 ... See full document
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On some new weakly singular Volterra integral inequalities with maxima and their applications
... The Gronwall-Bellman inequality [, ] is an important tool in the study of existence, uniqueness, boundedness, stability, invariant manifolds, and other qualitative properties of solutions of differential ... See full document
16
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 ... See full document
12
The coupled method for singularly perturbed Volterra integro differential equations
... differential equations with a weakly singular kernel and provided the error ...the Volterra integro-differential equa- tion with a weakly singular kernel, and the exponential ... See full document
16
Numerical Solutions of Volterra Integral Equations of Second kind with the help of Chebyshev Polynomials
... regular kernels and weakly singular kernels, available in the existing literature [1- ...linear Volterra integral equations is calculated by ... See full document
10
Riemann–Hilbert problems with shift on the Lyapunov curve for null-solutions of iterated Beltrami equations
... compact integral oper- ators related to Cauchy integral operator with shift, we construct weakly singular kernels, and thus derive two different integral representations for ... See full document
34
Asymptotics of integrodifferential models with integrable kernels
... from singularly perturbed Volterra integrodifferential equations are ...via integral trans- forms and fractional ...to integral equations of the type ... See full document
22
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 ... See full document
12
A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition
... Singularly perturbed differential equations are typically characterized by a small parame- ter ε multiplying some or all of the highest order terms in the differential equations as nor- mally ... See full document
12
Numerical Experiments on Eigenvalues of Weakly Singular Integral Equations Using Product Simpson's Rule
... the kernels being considered are weakly singular kernels of the types in ...an integral equation eigenvalue problem into an algebraic eigenvalue problem, we need to calculate the ... See full document
12
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], ... See full document
10
Jacobi spectral solution for weakly singular integral algebraic equations of index 1
... semi-explicit Integral Algebraic equations (IAEs) of index-1 with weakly singular ...the equations into integral equations defined on the standard interval [–1, 1], so that ... See full document
15
Some new weakly singular integral inequalities and their applications to fractional differential equations
... and integral equations, as well as in the modeling of en- gineering and science ...differential equations, integral inequalities with weakly singular kernels have drawn ... See full document
16
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 ... See full document
12
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), ... See full document
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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 ... See full document
15
A finite difference method for the smooth solution of linear Volterra integral equations
... linear Volterra integral equations with regular and weakly singular kernels having smooth ...the integral operator and then discretization of the simplified operator using ... See full document
10
On a weakly singular quadratic integral equations of Volterra type in Banach algebras
... Quadratic integral equations with nonsingular kernels are associated with epidemic mod- els ...quadratic integral equations with singular kernels have received a lot of ... See full document
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