Browsing by Author "Aggarwala, B. D."

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    Fourier-like kernels as solutions of Ode's
    (1995-01-01) Aggarwala, B. D.
    In this paper, we generate asymmetric Fourier kernels as solutions ofODE's. These kernels give many previously known kernels as special cases. Severalapplications are considered.
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    Modified boundary integral method for pressure driven MHD duct flow
    (1989-01-01) Aggarwala, B. D.; Ariel, P. D.
    In this paper, we investigate the flow of a viscous, Incompressible,electrically conducting fluid through a rectangular duct in the presence of a magneticfield, when one of the boundaries perpedicular to the magnetic field is partlyconducting and partly Insulating, by a modified Boundary Integral Method.Three problems are considered (i) flow through an infinite channel, (ii) flowthrough a rectangular duct when the conducting part is symmetrically situated, and(iii) flow through a rectangular duct when the conducting part is arbltrarilypositioned.Such problems have been studied before by asymptotic means for large values of M,the Hartmann number. Hoverer, the present modification of the Boundary IntegralMethod renders the problem computationally efficient and provides a reliable numericalsolution for all values of M. For large M, our coputation time decreasessignificantly.
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    On a generalization of Hankel kernel
    (1994-01-01) Nasim, C.; Aggarwala, B. D.
    We consider an expression involving the Bessel function, the Neumann function and the MacDonald function and discover various combinations of these functions which are Fourier kernels or conjugate Fourier kernels. Also a large number of integration formulae are established involving these kernels.
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    On dual integral equations arising in problems of bending of anisotropic plates
    (1992-01-01) Aggarwala, B. D.; Nasim, C.
    In this paper we consider dual integral equations, which arise in boundary value problems of bending of anisotropic plates. The function involved in these equations is a linear combination of elementary function, which turns out to be a particular case of a class of Fourier kernels, [2]. The method used here for solving the equations is some what similar to the method used for solving dual integral equations of Titchmarsh type, [1].
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    On quadruple integral equations involving trigonometric kernels
    (1997-01-01) Aggarwala, B. D.
    A general technique is developed for the solution of quadruple integral equationsinvolving trigonometric kernels. Four such sets are solved explicitly. Application is made to theproblem of three-collinear cracks in linear plane elasticity.
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    On the solution of reaction-diffusion equations with double diffusivity
    (1987-01-01) Aggarwala, B. D.; Nasim, C.
    In this paper, solution of a pair of Coupled Partial Differential equations is derived. These equations arise in the solution of problems of flow of homogeneous liquids in fissured rocks and heat conduction involving two temperatures. These equations have been considered by Hill and Aifantis, but the technique we use appears to be simpler and more direct, and some new results are derived. Also, discussion about the propagation of initial discontinuities is given and illustrated with graphs of some special cases.
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    Steady state temperatures in a quarter plane
    (1996-01-01) Aggarwala, B. D.; Nasim, C.
    The discontinuous boundary value problem of steady state temperatures in aquarter plane gives rise to a pair of dual integral equations which are not of Titchmarchtype. These dual integral equations are considered in this paper.